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37938996468 = 22321053861013
BaseRepresentation
bin100011010101010101…
…110010010011110100
310121221000220201011100
4203111111302103310
51110144340341333
625232352210100
72512110102102
oct432525622364
9117830821140
1037938996468
11150a963563a
127429839930
133768099549
141b9c992c72
15ec0ac4213
hex8d55724f4

37938996468 has 18 divisors (see below), whose sum is σ = 95901352274. Its totient is φ = 12646332144.

The previous prime is 37938996443. The next prime is 37938996481. The reversal of 37938996468 is 86469983973.

37938996468 is a `hidden beast` number, since 3 + 79 + 3 + 8 + 9 + 96 + 468 = 666.

37938996468 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 only one way, i.e., 22568451984 + 15370544484 = 150228^2 + 123978^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 37938996396 and 37938996405.

It is a congruent number.

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, 526930471 + ... + 526930542.

Almost surely, 237938996468 is an apocalyptic number.

It is an amenable number.

37938996468 is an abundant number, since it is smaller than the sum of its proper divisors (57962355806).

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

37938996468 is a wasteful number, since it uses less digits than its factorization.

37938996468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053861023 (or 1053861018 counting only the distinct ones).

The product of its digits is 423263232, while the sum is 72.

The spelling of 37938996468 in words is "thirty-seven billion, nine hundred thirty-eight million, nine hundred ninety-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 1053861013 2107722026 3161583039 4215444052 6323166078 9484749117 12646332156 18969498234 37938996468