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55650697216 = 214192972
BaseRepresentation
bin110011110101000010…
…100100000000000000
312022122101121022221221
4303311002210000000
51402433034302331
641322055324424
74010035056442
oct636502440000
9168571538857
1055650697216
1121668405554
12a951380714
13532b667a4a
14299cdb4492
1516aa9d0711
hexcf50a4000

55650697216 has 135 divisors (see below), whose sum is σ = 118687546089. Its totient is φ = 26089095168.

The previous prime is 55650697199. The next prime is 55650697241. The reversal of 55650697216 is 61279605655.

The square root of 55650697216 is 235904.

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., 24989286400 + 30661410816 = 158080^2 + 175104^2 .

It is a Duffinian number.

It is an unprimeable number.

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, 573718480 + ... + 573718576.

Almost surely, 255650697216 is an apocalyptic number.

55650697216 is the 235904-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55650697216

55650697216 is an abundant number, since it is smaller than the sum of its proper divisors (63036848873).

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

55650697216 is an frugal number, since it uses more digits than its factorization.

55650697216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 52.

The spelling of 55650697216 in words is "fifty-five billion, six hundred fifty million, six hundred ninety-seven thousand, two hundred sixteen".

Divisors: 1 2 4 8 16 19 32 38 64 76 97 128 152 194 256 304 361 388 512 608 722 776 1024 1216 1444 1552 1843 2048 2432 2888 3104 3686 4096 4864 5776 6208 7372 8192 9409 9728 11552 12416 14744 16384 18818 19456 23104 24832 29488 35017 37636 38912 46208 49664 58976 70034 75272 77824 92416 99328 117952 140068 150544 155648 178771 184832 198656 235904 280136 301088 311296 357542 369664 397312 471808 560272 602176 715084 739328 794624 943616 1120544 1204352 1430168 1478656 1589248 1887232 2241088 2408704 2860336 2957312 3396649 3774464 4482176 4817408 5720672 5914624 6793298 7548928 8964352 9634816 11441344 13586596 15097856 17928704 19269632 22882688 27173192 30195712 35857408 38539264 45765376 54346384 71714816 77078528 91530752 108692768 143429632 154157056 183061504 217385536 286859264 366123008 434771072 573718528 732246016 869542144 1464492032 1739084288 2928984064 3478168576 6956337152 13912674304 27825348608 55650697216