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10157620481 = 415919921101
BaseRepresentation
bin10010111010111000…
…01111110100000001
3222012220100120202222
421131130033310001
5131300322323411
64355533020425
7506500230611
oct113534176401
928186316688
1010157620481
114342791678
121b75924715
13c5b556b28
146c5072a41
153e6b454db
hex25d70fd01

10157620481 has 16 divisors (see below), whose sum is σ = 10635408000. Its totient is φ = 9692496000.

The previous prime is 10157620423. The next prime is 10157620483. The reversal of 10157620481 is 18402675101.

10157620481 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10157620481 - 210 = 10157619457 is a prime.

It is a super-2 number, since 2×101576204812 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10157620483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 470831 + ... + 491931.

It is an arithmetic number, because the mean of its divisors is an integer number (664713000).

Almost surely, 210157620481 is an apocalyptic number.

It is an amenable number.

10157620481 is a deficient number, since it is larger than the sum of its proper divisors (477787519).

10157620481 is a wasteful number, since it uses less digits than its factorization.

10157620481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21400.

The product of its (nonzero) digits is 13440, while the sum is 35.

The spelling of 10157620481 in words is "ten billion, one hundred fifty-seven million, six hundred twenty thousand, four hundred eighty-one".

Divisors: 1 41 59 199 2419 8159 11741 21101 481381 865141 1244959 4199099 51043319 172163059 247746841 10157620481