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30624689953 = 11131982113729
BaseRepresentation
bin11100100001010111…
…111010111100100001
32221001021202102220001
4130201113322330201
51000204410034303
622022505220001
72132623366234
oct344127727441
987037672801
1030624689953
1111a95925920
125b28191601
132b70926a20
1416a73bb41b
15be38c231d
hex7215faf21

30624689953 has 32 divisors (see below), whose sum is σ = 37921161600. Its totient is φ = 24315033600.

The previous prime is 30624689923. The next prime is 30624689983. The reversal of 30624689953 is 35998642603.

It is an interprime number because it is at equal distance from previous prime (30624689923) and next prime (30624689983).

It is a de Polignac number, because none of the positive numbers 2k-30624689953 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 30624689894 and 30624689903.

It is not an unprimeable number, because it can be changed into a prime (30624689903) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2223793 + ... + 2237521.

It is an arithmetic number, because the mean of its divisors is an integer number (1185036300).

Almost surely, 230624689953 is an apocalyptic number.

It is an amenable number.

30624689953 is a deficient number, since it is larger than the sum of its proper divisors (7296471647).

30624689953 is a wasteful number, since it uses less digits than its factorization.

30624689953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14593.

The product of its (nonzero) digits is 8398080, while the sum is 55.

The spelling of 30624689953 in words is "thirty billion, six hundred twenty-four million, six hundred eighty-nine thousand, nine hundred fifty-three".

Divisors: 1 11 13 19 143 209 247 821 2717 9031 10673 13729 15599 117403 151019 171589 178477 202787 260851 1963247 2230657 2869361 3391063 11271509 37301693 123986599 146529617 214158671 1611825787 2355745381 2784062723 30624689953