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20702451042 = 23371318232311
BaseRepresentation
bin10011010001111101…
…100101010101100010
31222102210022110221000
4103101331211111202
5314344311413132
613302141212430
71332011634060
oct232175452542
958383273830
1020702451042
118863aa2979
124019261116
131c4c094840
1410056db030
1581277487c
hex4d1f65562

20702451042 has 128 divisors (see below), whose sum is σ = 56677662720. Its totient is φ = 5454630720.

The previous prime is 20702451037. The next prime is 20702451047. The reversal of 20702451042 is 24015420702.

20702451042 is a `hidden beast` number, since 20 + 70 + 24 + 510 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (20702451037) and next prime (20702451047).

It is a super-4 number, since 4×207024510424 (a number of 42 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20702450997 and 20702451015.

It is not an unprimeable number, because it can be changed into a prime (20702451047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8957067 + ... + 8959377.

It is an arithmetic number, because the mean of its divisors is an integer number (442794240).

Almost surely, 220702451042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20702451042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28338831360).

20702451042 is an abundant number, since it is smaller than the sum of its proper divisors (35975211678).

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

20702451042 is a wasteful number, since it uses less digits than its factorization.

20702451042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4165 (or 4159 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 27.

Adding to 20702451042 its reverse (24015420702), we get a palindrome (44717871744).

The spelling of 20702451042 in words is "twenty billion, seven hundred two million, four hundred fifty-one thousand, forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 182 189 234 273 351 378 546 702 819 1638 1823 2311 2457 3646 4622 4914 5469 6933 10938 12761 13866 16177 16407 20799 23699 25522 30043 32354 32814 38283 41598 47398 48531 49221 60086 62397 71097 76566 90129 97062 98442 114849 124794 142194 145593 165893 180258 210301 213291 229698 270387 291186 331786 344547 420602 426582 436779 497679 540774 630903 639873 689094 811161 873558 995358 1261806 1279746 1493037 1622322 1892709 2986074 3785418 4212953 4479111 5678127 8425906 8958222 11356254 12638859 25277718 29490671 37916577 54768389 58981342 75833154 88472013 109536778 113749731 164305167 176944026 227499462 265416039 328610334 383378723 492915501 530832078 766757446 796248117 985831002 1150136169 1478746503 1592496234 2300272338 2957493006 3450408507 6900817014 10351225521 20702451042