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37004444964 = 22321027901249
BaseRepresentation
bin100010011101101000…
…110000010100100100
310112111220101120111200
4202131220300110210
51101241114214324
624555525402500
72450001410124
oct423550602444
9115456346450
1037004444964
111476a054223
127208869430
1336495962a6
141b10800c84
15e68a1eec9
hex89da30524

37004444964 has 18 divisors (see below), whose sum is σ = 93539013750. Its totient is φ = 12334814976.

The previous prime is 37004444959. The next prime is 37004444977. The reversal of 37004444964 is 46944440073.

It can be written as a sum of positive squares in only one way, i.e., 36995444964 + 9000000 = 192342^2 + 3000^2 .

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

It is a super-2 number, since 2×370044449642 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 513950589 + ... + 513950660.

It is an arithmetic number, because the mean of its divisors is an integer number (5196611875).

Almost surely, 237004444964 is an apocalyptic number.

It is an amenable number.

37004444964 is an abundant number, since it is smaller than the sum of its proper divisors (56534568786).

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

37004444964 is a wasteful number, since it uses less digits than its factorization.

37004444964 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1027901259 (or 1027901254 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 45.

The spelling of 37004444964 in words is "thirty-seven billion, four million, four hundred forty-four thousand, nine hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 1027901249 2055802498 3083703747 4111604996 6167407494 9251111241 12334814988 18502222482 37004444964