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53372088576 = 283248132
BaseRepresentation
bin110001101101001110…
…010111000100000000
312002202121000000112100
4301231032113010000
51333301223313301
640304021030400
73566416160532
oct615516270400
9162677000470
1053372088576
11206a9175114
12a416255400
135057572401
142824513852
1515c5937286
hexc6d397100

53372088576 has 81 divisors (see below), whose sum is σ = 153916868469. Its totient is φ = 17786999808.

The previous prime is 53372088569. The next prime is 53372088611. The reversal of 53372088576 is 67588027335.

The square root of 53372088576 is 231024.

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

53372088576 is a `hidden beast` number, since 533 + 7 + 20 + 8 + 85 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39968006400 + 13404082176 = 199920^2 + 115776^2 .

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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, 11086746 + ... + 11091558.

Almost surely, 253372088576 is an apocalyptic number.

53372088576 is the 231024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53372088576

53372088576 is an abundant number, since it is smaller than the sum of its proper divisors (100544779893).

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

53372088576 is an frugal number, since it uses more digits than its factorization.

53372088576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9648 (or 4818 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 53372088576 in words is "fifty-three billion, three hundred seventy-two million, eighty-eight thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 1152 2304 4813 9626 14439 19252 28878 38504 43317 57756 77008 86634 115512 154016 173268 231024 308032 346536 462048 616064 693072 924096 1232128 1386144 1848192 2772288 3696384 5544576 11089152 23164969 46329938 69494907 92659876 138989814 185319752 208484721 277979628 370639504 416969442 555959256 741279008 833938884 1111918512 1482558016 1667877768 2223837024 2965116032 3335755536 4447674048 5930232064 6671511072 8895348096 13343022144 17790696192 26686044288 53372088576