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10162195940 = 2251339085369
BaseRepresentation
bin10010111011011011…
…01100110111100100
3222020012222001010102
421131231230313210
5131303010232230
64400215043232
7506554145261
oct113555546744
928205861112
1010162195940
114345327246
121b77370518
13c5c4995c0
146c5904268
153e724b045
hex25db6cde4

10162195940 has 24 divisors (see below), whose sum is σ = 22982197560. Its totient is φ = 3752195328.

The previous prime is 10162195937. The next prime is 10162195943. The reversal of 10162195940 is 4959126101.

It is an interprime number because it is at equal distance from previous prime (10162195937) and next prime (10162195943).

It can be written as a sum of positive squares in 4 ways, for example, as 580135396 + 9582060544 = 24086^2 + 97888^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10162195894 and 10162195903.

It is not an unprimeable number, because it can be changed into a prime (10162195943) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19542425 + ... + 19542944.

It is an arithmetic number, because the mean of its divisors is an integer number (957591565).

Almost surely, 210162195940 is an apocalyptic number.

10162195940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10162195940 is an abundant number, since it is smaller than the sum of its proper divisors (12820001620).

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

10162195940 is a wasteful number, since it uses less digits than its factorization.

10162195940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39085391 (or 39085389 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 38.

The spelling of 10162195940 in words is "ten billion, one hundred sixty-two million, one hundred ninety-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 39085369 78170738 156341476 195426845 390853690 508109797 781707380 1016219594 2032439188 2540548985 5081097970 10162195940