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5762129220 = 22325157203897
BaseRepresentation
bin1010101110111001…
…10001110101000100
3112212120110111022100
411113130301311010
543300101113340
62351434232100
7262535201361
oct52734616504
915776414270
105762129220
112497631a71
121149885630
1370aa12123
143c93ad468
1523acec830
hex157731d44

5762129220 has 72 divisors (see below), whose sum is σ = 17589872664. Its totient is φ = 1526773248.

The previous prime is 5762129201. The next prime is 5762129227. The reversal of 5762129220 is 229212675.

It is a happy number.

5762129220 is a `hidden beast` number, since 5 + 7 + 621 + 2 + 9 + 2 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 65804544 + 5696324676 = 8112^2 + 75474^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5762129227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73689 + ... + 130208.

It is an arithmetic number, because the mean of its divisors is an integer number (244303787).

Almost surely, 25762129220 is an apocalyptic number.

It is an amenable number.

5762129220 is an abundant number, since it is smaller than the sum of its proper divisors (11827743444).

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

5762129220 is a wasteful number, since it uses less digits than its factorization.

5762129220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204069 (or 204064 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 5762129220 is about 75908.6900163611. The cubic root of 5762129220 is about 1792.7827486487.

The spelling of 5762129220 in words is "five billion, seven hundred sixty-two million, one hundred twenty-nine thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 157 180 314 471 628 785 942 1413 1570 1884 2355 2826 3140 4710 5652 7065 9420 14130 28260 203897 407794 611691 815588 1019485 1223382 1835073 2038970 2446764 3058455 3670146 4077940 6116910 7340292 9175365 12233820 18350730 32011829 36701460 64023658 96035487 128047316 160059145 192070974 288106461 320118290 384141948 480177435 576212922 640236580 960354870 1152425844 1440532305 1920709740 2881064610 5762129220