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480949899480 = 233451061139907
BaseRepresentation
bin1101111111110101101…
…10010001000011011000
31200222102020002100010000
412333322312101003120
530334441133240410
61004540105253000
746514246456601
oct6777266210330
91628366070100
10480949899480
11175a73752a76
1279265194160
13364794bb24b
14193c7166da8
15c79d49ddc0
hex6ffad910d8

480949899480 has 160 divisors (see below), whose sum is σ = 1618061203440. Its totient is φ = 128131511040.

The previous prime is 480949899467. The next prime is 480949899487. The reversal of 480949899480 is 84998949084.

480949899480 is a `hidden beast` number, since 4 + 8 + 0 + 9 + 498 + 99 + 48 + 0 = 666.

It is a super-3 number, since 3×4809498994803 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 480949899399 and 480949899408.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (480949899487) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3367687 + ... + 3507593.

Almost surely, 2480949899480 is an apocalyptic number.

480949899480 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 480949899480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (809030601720).

480949899480 is an abundant number, since it is smaller than the sum of its proper divisors (1137111303960).

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

480949899480 is a wasteful number, since it uses less digits than its factorization.

480949899480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140991 (or 140978 counting only the distinct ones).

The product of its (nonzero) digits is 214990848, while the sum is 72.

The spelling of 480949899480 in words is "four hundred eighty billion, nine hundred forty-nine million, eight hundred ninety-nine thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1061 1080 1620 2122 3183 3240 4244 5305 6366 8488 9549 10610 12732 15915 19098 21220 25464 28647 31830 38196 42440 47745 57294 63660 76392 85941 95490 114588 127320 139907 143235 171882 190980 229176 279814 286470 343764 381960 419721 429705 559628 572940 687528 699535 839442 859410 1119256 1145880 1259163 1399070 1678884 1718820 2098605 2518326 2798140 3357768 3437640 3777489 4197210 5036652 5596280 6295815 7554978 8394420 10073304 11332467 12591630 15109956 16788840 18887445 22664934 25183260 30219912 37774890 45329868 50366520 56662335 75549780 90659736 113324670 148441327 151099560 226649340 296882654 445323981 453298680 593765308 742206635 890647962 1187530616 1335971943 1484413270 1781295924 2226619905 2671943886 2968826540 3562591848 4007915829 4453239810 5343887772 5937653080 6679859715 8015831658 8906479620 10687775544 12023747487 13359719430 16031663316 17812959240 20039579145 24047494974 26719438860 32063326632 40079158290 48094989948 53438877720 60118737435 80158316580 96189979896 120237474870 160316633160 240474949740 480949899480