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55511129664 = 263298172
BaseRepresentation
bin110011101100101110…
…001001111001000000
312022021122222120021100
4303230232021321000
51402141322122124
641300152054400
74003421550114
oct635456117100
9168248876240
1055511129664
11215a6649371
12a912694400
13530877c4b3
142988643744
15169d6121c9
hexcecb89e40

55511129664 has 63 divisors (see below), whose sum is σ = 159128839857. Its totient is φ = 18501825024.

The previous prime is 55511129623. The next prime is 55511129677. The reversal of 55511129664 is 46692111555.

The square root of 55511129664 is 235608.

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

55511129664 is a `hidden beast` number, since 5 + 5 + 511 + 129 + 6 + 6 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55149825600 + 361304064 = 234840^2 + 19008^2 .

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 5649684 + ... + 5659500.

Almost surely, 255511129664 is an apocalyptic number.

55511129664 is the 235608-th square number.

It is an amenable number.

55511129664 is an abundant number, since it is smaller than the sum of its proper divisors (103617710193).

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

55511129664 is an frugal number, since it uses more digits than its factorization.

55511129664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19652 (or 9822 counting only the distinct ones).

The product of its digits is 324000, while the sum is 45.

The spelling of 55511129664 in words is "fifty-five billion, five hundred eleven million, one hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 9817 19634 29451 39268 58902 78536 88353 117804 157072 176706 235608 314144 353412 471216 628288 706824 942432 1413648 1884864 2827296 5654592 96373489 192746978 289120467 385493956 578240934 770987912 867361401 1156481868 1541975824 1734722802 2312963736 3083951648 3469445604 4625927472 6167903296 6938891208 9251854944 13877782416 18503709888 27755564832 55511129664