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1481970947058 = 23473179148997
BaseRepresentation
bin10101100100001100010…
…110100001001111110010
312020200020002210100120000
4111210030112201033302
5143240034030301213
63052450312330430
7212032423131000
oct25441426411762
95220202710500
101481970947058
11521555a68038
121bb2710a3a16
13a9998183144
1451a29039a70
15288396a2c73
hex1590c5a13f2

1481970947058 has 160 divisors (see below), whose sum is σ = 3894211728000. Its totient is φ = 421051968288.

The previous prime is 1481970947027. The next prime is 1481970947059. The reversal of 1481970947058 is 8507490791841.

1481970947058 is a `hidden beast` number, since 1 + 48 + 1 + 9 + 70 + 9 + 470 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1481970946986 and 1481970947004.

It is not an unprimeable number, because it can be changed into a prime (1481970947059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 9871816 + ... + 10020812.

It is an arithmetic number, because the mean of its divisors is an integer number (24338823300).

Almost surely, 21481970947058 is an apocalyptic number.

1481970947058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1481970947058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1947105864000).

1481970947058 is an abundant number, since it is smaller than the sum of its proper divisors (2412240780942).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1481970947058 is a wasteful number, since it uses less digits than its factorization.

1481970947058 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149211 (or 149188 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 63.

The spelling of 1481970947058 in words is "one trillion, four hundred eighty-one billion, nine hundred seventy million, nine hundred forty-seven thousand, fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 179 189 294 343 358 378 441 537 567 686 882 1029 1074 1134 1253 1323 1611 2058 2506 2646 3087 3222 3759 3969 4833 6174 7518 7938 8771 9261 9666 11277 14499 17542 18522 22554 26313 27783 28998 33831 52626 55566 61397 67662 78939 101493 122794 148997 157878 184191 202986 236817 297994 368382 446991 473634 552573 710451 893982 1042979 1105146 1340973 1420902 1657719 2085958 2681946 3128937 3315438 4022919 4973157 6257874 7300853 8045838 9386811 9946314 12068757 14601706 18773622 21902559 24137514 26670463 28160433 43805118 51105971 53340926 56320866 65707677 80011389 84481299 102211942 131415354 153317913 160022778 168962598 186693241 197123031 240034167 306635826 373386482 394246062 459953739 480068334 560079723 591369093 720102501 919907478 1120159446 1182738186 1306852687 1379861217 1440205002 1680239169 2160307503 2613705374 2759722434 3360478338 3920558061 4139583651 4320615006 5040717507 7841116122 8279167302 9147968809 10081435014 11761674183 15122152521 18295937618 23523348366 27443906427 30244305042 35285022549 54887812854 70570045098 82331719281 105855067647 164663438562 211710135294 246995157843 493990315686 740985473529 1481970947058