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10155160720 = 2451512293671
BaseRepresentation
bin10010111010100101…
…10111010010010000
3222012201201121121201
421131102313102100
5131244210120340
64355404200544
7506440304365
oct113522672220
928181647551
1010155160720
114341361611
121b74b39154
13c5aba5353
146c49d246c
153e680b79a
hex25d4b7490

10155160720 has 80 divisors (see below), whose sum is σ = 23877400320. Its totient is φ = 4016448000.

The previous prime is 10155160669. The next prime is 10155160759. The reversal of 10155160720 is 2706155101.

It is a tau number, because it is divible by the number of its divisors (80).

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, 2764485 + ... + 2768155.

It is an arithmetic number, because the mean of its divisors is an integer number (298467504).

Almost surely, 210155160720 is an apocalyptic number.

10155160720 is a gapful number since it is divisible by the number (10) 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 10155160720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11938700160).

10155160720 is an abundant number, since it is smaller than the sum of its proper divisors (13722239600).

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

10155160720 is a wasteful number, since it uses less digits than its factorization.

10155160720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4064 (or 4058 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 28.

The spelling of 10155160720 in words is "ten billion, one hundred fifty-five million, one hundred sixty thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 151 229 302 458 604 755 916 1145 1208 1510 1832 2290 2416 3020 3664 3671 4580 6040 7342 9160 12080 14684 18320 18355 29368 34579 36710 58736 69158 73420 138316 146840 172895 276632 293680 345790 553264 554321 691580 840659 1108642 1383160 1681318 2217284 2766320 2771605 3362636 4203295 4434568 5543210 6725272 8406590 8869136 11086420 13450544 16813180 22172840 33626360 44345680 67252720 126939509 253879018 507758036 634697545 1015516072 1269395090 2031032144 2538790180 5077580360 10155160720