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102525734168 = 2311131923205081
BaseRepresentation
bin101111101111100000…
…0101000110100011000
3100210122012020221011122
41133133000220310120
53134433041443133
6115033310144412
710256453234654
oct1373700506430
9323565227148
10102525734168
113a532116610
1217a537b2108
13988bb7c2c0
144d6868da64
152a00d4a498
hex17df028d18

102525734168 has 128 divisors (see below), whose sum is σ = 248067187200. Its totient is φ = 38981606400.

The previous prime is 102525734161. The next prime is 102525734177. The reversal of 102525734168 is 861437525201.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102525734161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 397388 + ... + 602468.

It is an arithmetic number, because the mean of its divisors is an integer number (1938024900).

Almost surely, 2102525734168 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102525734168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124033593600).

102525734168 is an abundant number, since it is smaller than the sum of its proper divisors (145541453032).

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

102525734168 is a wasteful number, since it uses less digits than its factorization.

102525734168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205153 (or 205149 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 44.

The spelling of 102525734168 in words is "one hundred two billion, five hundred twenty-five million, seven hundred thirty-four thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 11 13 19 22 23 26 38 44 46 52 76 88 92 104 143 152 184 209 247 253 286 299 418 437 494 506 572 598 836 874 988 1012 1144 1196 1672 1748 1976 2024 2392 2717 3289 3496 4807 5434 5681 6578 9614 10868 11362 13156 19228 21736 22724 26312 38456 45448 62491 124982 205081 249964 410162 499928 820324 1640648 2255891 2666053 3896539 4511782 4716863 5332106 7793078 9023564 9433726 10664212 15586156 18047128 18867452 21328424 29326583 31172312 37734904 42861929 50655007 51885493 58653166 61319219 85723858 89620397 101310014 103770986 117306332 122638438 171447716 179240794 202620028 207541972 234612664 245276876 342895432 358481588 405240056 415083944 490553752 557205077 674511409 716963176 985824367 1114410154 1165065161 1349022818 1971648734 2228820308 2330130322 2698045636 3943297468 4457640616 4660260644 5396091272 7886594936 9320521288 12815716771 25631433542 51262867084 102525734168