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72420644641024 = 285318772
BaseRepresentation
bin10000011101110110111110…
…110011000101100100000000
3100111102100100020120102020201
4100131312332303011210000
533443014440012003044
6414005330155014544
721153135041422651
oct2035667663054400
9314370306512221
1072420644641024
11210914719966a9
12815773343a454
1331543119aca14
1413c526c247528
15858c61a227d4
hex41ddbecc5900

72420644641024 has 27 divisors (see below), whose sum is σ = 144558667928577. Its totient is φ = 36210254240256.

The previous prime is 72420644641013. The next prime is 72420644641039. The reversal of 72420644641024 is 42014644602427.

The square root of 72420644641024 is 8510032.

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., 2436845881600 + 69983798759424 = 1561040^2 + 8365632^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 135894574 + ... + 136426450.

Almost surely, 272420644641024 is an apocalyptic number.

72420644641024 is the 8510032-nd square number.

It is an amenable number.

72420644641024 is a deficient number, since it is larger than the sum of its proper divisors (72138023287553).

72420644641024 is an frugal number, since it uses more digits than its factorization.

72420644641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1063770 (or 531879 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 46.

The spelling of 72420644641024 in words is "seventy-two trillion, four hundred twenty billion, six hundred forty-four million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 32 64 128 256 531877 1063754 2127508 4255016 8510032 17020064 34040128 68080256 136160512 282893143129 565786286258 1131572572516 2263145145032 4526290290064 9052580580128 18105161160256 36210322320512 72420644641024