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102056257758 = 23713229495799
BaseRepresentation
bin101111100001100000…
…1101110100011011110
3100202102110212001121110
41133003001232203132
53133002400222013
6114514535442450
710242022610040
oct1370301564336
9322373761543
10102056257758
113a311107a84
1217942526426
139815823600
144d221a1a90
1529c4a112c3
hex17c306e8de

102056257758 has 96 divisors (see below), whose sum is σ = 261306432000. Its totient is φ = 25987747968.

The previous prime is 102056257739. The next prime is 102056257783. The reversal of 102056257758 is 857752650201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42058 + ... + 453741.

It is an arithmetic number, because the mean of its divisors is an integer number (2721942000).

Almost surely, 2102056257758 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102056257758, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130653216000).

102056257758 is an abundant number, since it is smaller than the sum of its proper divisors (159250174242).

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

102056257758 is a wasteful number, since it uses less digits than its factorization.

102056257758 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495866 (or 495853 counting only the distinct ones).

The product of its (nonzero) digits is 1176000, while the sum is 48.

The spelling of 102056257758 in words is "one hundred two billion, fifty-six million, two hundred fifty-seven thousand, seven hundred fifty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 29 39 42 58 78 87 91 169 174 182 203 273 338 377 406 507 546 609 754 1014 1131 1183 1218 2262 2366 2639 3549 4901 5278 7098 7917 9802 14703 15834 29406 34307 68614 102921 205842 495799 991598 1487397 2974794 3470593 6445387 6941186 10411779 12890774 14378171 19336161 20823558 28756342 38672322 43134513 45117709 83790031 86269026 90235418 100647197 135353127 167580062 186916223 201294394 251370093 270706254 301941591 373832446 502740186 560748669 586530217 603883182 1121497338 1173060434 1308413561 1759590651 2429910899 2616827122 3519181302 3925240683 4859821798 7289732697 7850481366 14579465394 17009376293 34018752586 51028128879 102056257758