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6872744614464 = 26365322292
BaseRepresentation
bin110010000000010111110…
…0000000101101001000000
3220100000202101111121000000
41210000233200011221000
51400100340110130324
622341143441000000
71306353006223251
oct144005740055100
926300671447000
106872744614464
11220a795187733
1292bb98323000
133ab13525b531
1419a8dd494b28
15bdb987d49c9
hex6402f805a40

6872744614464 has 441 divisors, whose sum is σ = 20932292500203. Its totient is φ = 2237874822144.

The previous prime is 6872744614403. The next prime is 6872744614537. The reversal of 6872744614464 is 4644164472786.

The square root of 6872744614464 is 2621592.

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

6872744614464 is a `hidden beast` number, since 6 + 8 + 7 + 2 + 7 + 4 + 4 + 614 + 4 + 6 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3187081857600 + 3685662756864 = 1785240^2 + 1919808^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 30011985102 + ... + 30011985330.

Almost surely, 26872744614464 is an apocalyptic number.

6872744614464 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6872744614464 is the 2621592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6872744614464

6872744614464 is an abundant number, since it is smaller than the sum of its proper divisors (14059547885739).

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

6872744614464 is an frugal number, since it uses more digits than its factorization.

6872744614464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 594 (or 287 counting only the distinct ones).

The product of its digits is 173408256, while the sum is 63.

The spelling of 6872744614464 in words is "six trillion, eight hundred seventy-two billion, seven hundred forty-four million, six hundred fourteen thousand, four hundred sixty-four".