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38426976784 = 247270012
BaseRepresentation
bin100011110010011011…
…010010001000010000
310200012001010200022101
4203302123102020100
51112144301224114
625353023250144
72530153625200
oct436233221020
9120161120271
1038426976784
111532a032459
127545149954
1338152036b1
141c076da400
15eed865d74
hex8f26d2210

38426976784 has 45 divisors (see below), whose sum is σ = 86620112301. Its totient is φ = 16466352000.

The previous prime is 38426976761. The next prime is 38426976793. The reversal of 38426976784 is 48767962483.

The square root of 38426976784 is 196028.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 16237895184 + 22189081600 = 127428^2 + 148960^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5485284 + ... + 5492284.

Almost surely, 238426976784 is an apocalyptic number.

38426976784 is the 196028-th square number.

It is an amenable number.

38426976784 is an abundant number, since it is smaller than the sum of its proper divisors (48193135517).

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

38426976784 is an frugal number, since it uses more digits than its factorization.

38426976784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14024 (or 7010 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 64.

Multiplying 38426976784 by its sum of digits (64), we get a square (2459326514176 = 15682242).

The spelling of 38426976784 in words is "thirty-eight billion, four hundred twenty-six million, nine hundred seventy-six thousand, seven hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 7001 14002 28004 49007 56008 98014 112016 196028 343049 392056 686098 784112 1372196 2744392 5488784 49014001 98028002 196056004 343098007 392112008 686196014 784224016 1372392028 2401686049 2744784056 4803372098 5489568112 9606744196 19213488392 38426976784