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15106920101696 = 261929363376691
BaseRepresentation
bin1101101111010101101010…
…0110110011011101000000
31222111012121020101022102002
43123311122212303131000
53440002433021223241
652044005010243132
73116303364103523
oct333653246633500
958435536338362
1015106920101696
1148a4899619495
12183b9a4b864a8
1385776560c147
143a3270a14bba
151b2e7418489b
hexdbd5a9b3740

15106920101696 has 112 divisors (see below), whose sum is σ = 31673000976960. Its totient is φ = 7129295585280.

The previous prime is 15106920101687. The next prime is 15106920101719. The reversal of 15106920101696 is 69610102960151.

It is a self number, because there is not a number n which added to its sum of digits gives 15106920101696.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2257793711 + ... + 2257800401.

It is an arithmetic number, because the mean of its divisors is an integer number (282794651580).

Almost surely, 215106920101696 is an apocalyptic number.

15106920101696 is a gapful number since it is divisible by the number (16) 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 15106920101696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15836500488480).

15106920101696 is an abundant number, since it is smaller than the sum of its proper divisors (16566080875264).

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

15106920101696 is a wasteful number, since it uses less digits than its factorization.

15106920101696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13352 (or 13342 counting only the distinct ones).

The product of its (nonzero) digits is 174960, while the sum is 47.

The spelling of 15106920101696 in words is "fifteen trillion, one hundred six billion, nine hundred twenty million, one hundred one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 152 293 304 586 608 1172 1216 2344 4688 5567 6337 6691 9376 11134 12674 13382 18752 22268 25348 26764 44536 50696 53528 89072 101392 107056 120403 127129 178144 202784 214112 240806 254258 356288 405568 428224 481612 508516 963224 1017032 1856741 1926448 1960463 2034064 3713482 3852896 3920926 4068128 7426964 7705792 7841852 8136256 14853928 15683704 29707856 31367408 35278079 37248797 42400867 59415712 62734816 70556158 74497594 84801734 118831424 125469632 141112316 148995188 169603468 282224632 297990376 339206936 564449264 595980752 678413872 805616473 1128898528 1191961504 1356827744 1611232946 2257797056 2383923008 2713655488 3222465892 6444931784 12423454031 12889863568 24846908062 25779727136 49693816124 51559454272 99387632248 198775264496 236045626589 397550528992 472091253178 795101057984 944182506356 1888365012712 3776730025424 7553460050848 15106920101696