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10160642500 = 225431712821
BaseRepresentation
bin10010111011001111…
…10001100111000100
3222020010001010012121
421131213301213010
5131302111030000
64400121455324
7506535015301
oct113547614704
928203033177
1010160642500
114344466108
121b76941544
13c5c0744c8
146c561c0a8
153e7040b1a
hex25d9f19c4

10160642500 has 60 divisors (see below), whose sum is σ = 22291123932. Its totient is φ = 4051120000.

The previous prime is 10160642497. The next prime is 10160642519. The reversal of 10160642500 is 524606101.

It can be written as a sum of positive squares in 10 ways, for example, as 10139684416 + 20958084 = 100696^2 + 4578^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 786090 + ... + 798910.

Almost surely, 210160642500 is an apocalyptic number.

10160642500 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 10160642500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11145561966).

10160642500 is an abundant number, since it is smaller than the sum of its proper divisors (12130481432).

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

10160642500 is a wasteful number, since it uses less digits than its factorization.

10160642500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13162 (or 13145 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

It can be divided in two parts, 1016064 and 2500, that multiplied together give a square (2540160000 = 504002).

The spelling of 10160642500 in words is "ten billion, one hundred sixty million, six hundred forty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 317 500 625 634 1250 1268 1585 2500 3170 6340 7925 12821 15850 25642 31700 39625 51284 64105 79250 128210 158500 198125 256420 320525 396250 641050 792500 1282100 1602625 3205250 4064257 6410500 8013125 8128514 16026250 16257028 20321285 32052500 40642570 81285140 101606425 203212850 406425700 508032125 1016064250 2032128500 2540160625 5080321250 10160642500