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87720222976 = 2810721732
BaseRepresentation
bin101000110110010001…
…0000110000100000000
322101102101002000222021
41101230202012010000
52414122334113401
6104144220451224
76223534410211
oct1215442060400
9271371060867
1087720222976
1134224862951
12150013a9b14
13836c70aba9
144362215408
1524361522a1
hex146c886100

87720222976 has 81 divisors (see below), whose sum is σ = 177777089581. Its totient is φ = 43199046656.

The previous prime is 87720222971. The next prime is 87720223027. The reversal of 87720222976 is 67922202778.

The square root of 87720222976 is 296176.

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., 79794950400 + 7925272576 = 282480^2 + 89024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (87720222971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 507053226 + ... + 507053398.

Almost surely, 287720222976 is an apocalyptic number.

87720222976 is the 296176-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87720222976

87720222976 is an abundant number, since it is smaller than the sum of its proper divisors (90056866605).

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

87720222976 is an frugal number, since it uses more digits than its factorization.

87720222976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 282 counting only the distinct ones).

The product of its (nonzero) digits is 2370816, while the sum is 52.

The spelling of 87720222976 in words is "eighty-seven billion, seven hundred twenty million, two hundred twenty-two thousand, nine hundred seventy-six".

Divisors: 1 2 4 8 16 32 64 107 128 173 214 256 346 428 692 856 1384 1712 2768 3424 5536 6848 11072 11449 13696 18511 22144 22898 27392 29929 37022 44288 45796 59858 74044 91592 119716 148088 183184 239432 296176 366368 478864 592352 732736 957728 1184704 1465472 1915456 1980677 2369408 2930944 3202403 3830912 3961354 4738816 6404806 7661824 7922708 12809612 15845416 25619224 31690832 51238448 63381664 102476896 126763328 204953792 253526656 342657121 409907584 507053312 685314242 819815168 1370628484 2741256968 5482513936 10965027872 21930055744 43860111488 87720222976