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75652502500 = 225455012
BaseRepresentation
bin100011001110100111…
…1011001001111100100
321020021100112022121001
41012131033121033210
52214414020040000
654430531403044
75315511442531
oct1063517311744
9236240468531
1075652502500
112a0a1957943
12127b3a53484
1371985252a3
143939609d88
151e7b9a646a
hex119d3d93e4

75652502500 has 45 divisors (see below), whose sum is σ = 165466971901. Its totient is φ = 30255500000.

The previous prime is 75652502459. The next prime is 75652502509. The reversal of 75652502500 is 520525657.

It is a happy number.

The square root of 75652502500 is 275050.

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

It can be written as a sum of positive squares in 7 ways, for example, as 12506843556 + 63145658944 = 111834^2 + 251288^2 .

It is a super-2 number, since 2×756525025002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 75652502500.

It is not an unprimeable number, because it can be changed into a prime (75652502509) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 13749750 + ... + 13755250.

Almost surely, 275652502500 is an apocalyptic number.

75652502500 is the 275050-th square number.

It is an amenable number.

75652502500 is an abundant number, since it is smaller than the sum of its proper divisors (89814469401).

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

75652502500 is an frugal number, since it uses more digits than its factorization.

75652502500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11026 (or 5508 counting only the distinct ones).

The product of its (nonzero) digits is 105000, while the sum is 37.

The spelling of 75652502500 in words is "seventy-five billion, six hundred fifty-two million, five hundred two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 5501 11002 22004 27505 55010 110020 137525 275050 550100 687625 1375250 2750500 3438125 6876250 13752500 30261001 60522002 121044004 151305005 302610010 605220020 756525025 1513050050 3026100100 3782625125 7565250250 15130500500 18913125625 37826251250 75652502500