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252655011904 = 268327572
BaseRepresentation
bin1110101101001101101…
…0011000100001000000
3220011010221222102202111
43223103122120201000
513114414140340104
6312022413425104
724153012111151
oct3532332304100
9804127872674
10252655011904
1198172192a69
1240b7179b194
131aa96153559
14c32b293928
15688ae64404
hex3ad3698840

252655011904 has 63 divisors (see below), whose sum is σ = 508146838797. Its totient is φ = 124640619264.

The previous prime is 252655011797. The next prime is 252655011911. The reversal of 252655011904 is 409110556252.

The square root of 252655011904 is 502648.

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., 156088206400 + 96566805504 = 395080^2 + 310752^2 .

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, 333757894 + ... + 333758650.

Almost surely, 2252655011904 is an apocalyptic number.

252655011904 is the 502648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252655011904

252655011904 is an abundant number, since it is smaller than the sum of its proper divisors (255491826893).

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

252655011904 is an frugal number, since it uses more digits than its factorization.

252655011904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1692 (or 842 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 40.

The spelling of 252655011904 in words is "two hundred fifty-two billion, six hundred fifty-five million, eleven thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 83 166 332 664 757 1328 1514 2656 3028 5312 6056 6889 12112 13778 24224 27556 48448 55112 62831 110224 125662 220448 251324 440896 502648 573049 1005296 1146098 2010592 2292196 4021184 4584392 5214973 9168784 10429946 18337568 20859892 36675136 41719784 47563067 83439568 95126134 166879136 190252268 333758272 380504536 761009072 1522018144 3044036288 3947734561 7895469122 15790938244 31581876488 63163752976 126327505952 252655011904