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31668300036 = 2232879675001
BaseRepresentation
bin11101011111100100…
…111110100100000100
310000202000111022210100
4131133210332210010
51004324041100121
622314225324100
72200525052232
oct353744764404
9100660438710
1031668300036
1112480a2559a
126179796630
132ca8bc2999
141765c3b952
15c5531a026
hex75f93e904

31668300036 has 18 divisors (see below), whose sum is σ = 80050425182. Its totient is φ = 10556100000.

The previous prime is 31668300029. The next prime is 31668300101. The reversal of 31668300036 is 63000386613.

31668300036 is a `hidden beast` number, since 316 + 6 + 8 + 300 + 0 + 36 = 666.

It can be written as a sum of positive squares in only one way, i.e., 29292322500 + 2375977536 = 171150^2 + 48744^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 879675001 = 31668300036 / (3 + 1 + 6 + 6 + 8 + 3 + 0 + 0 + 0 + 3 + 6).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 439837465 + ... + 439837536.

Almost surely, 231668300036 is an apocalyptic number.

31668300036 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

31668300036 is an abundant number, since it is smaller than the sum of its proper divisors (48382125146).

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

31668300036 is a wasteful number, since it uses less digits than its factorization.

31668300036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 879675011 (or 879675006 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

Adding to 31668300036 its reverse (63000386613), we get a palindrome (94668686649).

The spelling of 31668300036 in words is "thirty-one billion, six hundred sixty-eight million, three hundred thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 879675001 1759350002 2639025003 3518700004 5278050006 7917075009 10556100012 15834150018 31668300036