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10151556340 = 225975232761
BaseRepresentation
bin10010111010001010…
…00111010011110100
3222012110221111100011
421131011013103310
5131242244300330
64355155030004
7506364543112
oct113505072364
928173844304
1010151556340
11433a31a592
121b7389b304
13c5a212893
146c4334ab2
153e634882a
hex25d1474f4

10151556340 has 24 divisors (see below), whose sum is σ = 21538048392. Its totient is φ = 4018759680.

The previous prime is 10151556323. The next prime is 10151556361. The reversal of 10151556340 is 4365515101.

It is a happy number.

10151556340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1565310096 + 8586246244 = 39564^2 + 92662^2 .

It is a super-2 number, since 2×101515563402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2614441 + ... + 2618320.

It is an arithmetic number, because the mean of its divisors is an integer number (897418683).

Almost surely, 210151556340 is an apocalyptic number.

10151556340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10151556340 is an abundant number, since it is smaller than the sum of its proper divisors (11386492052).

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

10151556340 is a wasteful number, since it uses less digits than its factorization.

10151556340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5232867 (or 5232865 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 31.

The spelling of 10151556340 in words is "ten billion, one hundred fifty-one million, five hundred fifty-six thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 97 194 388 485 970 1940 5232761 10465522 20931044 26163805 52327610 104655220 507577817 1015155634 2030311268 2537889085 5075778170 10151556340