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55590637568 = 212173721577
BaseRepresentation
bin110011110001011101…
…011101000000000000
312022111012120222121112
4303301131131000000
51402322200400233
641312112142452
74005405423434
oct636135350000
9168435528545
1055590637568
1121637513884
12a935237a28
13531c0998ab
14299501c9c4
1516a55ba048
hexcf175d000

55590637568 has 104 divisors (see below), whose sum is σ = 120893852232. Its totient is φ = 25452085248.

The previous prime is 55590637567. The next prime is 55590637579. The reversal of 55590637568 is 86573609555.

It can be written as a sum of positive squares in 4 ways, for example, as 37406654464 + 18183983104 = 193408^2 + 134848^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55590637567) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2565596 + ... + 2587172.

Almost surely, 255590637568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55590637568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60446926116).

55590637568 is an abundant number, since it is smaller than the sum of its proper divisors (65303214664).

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

55590637568 is a wasteful number, since it uses less digits than its factorization.

55590637568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21655 (or 21633 counting only the distinct ones).

The product of its (nonzero) digits is 34020000, while the sum is 59.

The spelling of 55590637568 in words is "fifty-five billion, five hundred ninety million, six hundred thirty-seven thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 37 64 68 74 128 136 148 256 272 296 512 544 592 629 1024 1088 1184 1258 2048 2176 2368 2516 4096 4352 4736 5032 8704 9472 10064 17408 18944 20128 21577 34816 37888 40256 43154 69632 75776 80512 86308 151552 161024 172616 322048 345232 366809 644096 690464 733618 798349 1288192 1380928 1467236 1596698 2576384 2761856 2934472 3193396 5523712 5868944 6386792 11047424 11737888 12773584 13571933 22094848 23475776 25547168 27143866 44189696 46951552 51094336 54287732 88379392 93903104 102188672 108575464 187806208 204377344 217150928 375612416 408754688 434301856 751224832 817509376 868603712 1502449664 1635018752 1737207424 3270037504 3474414848 6948829696 13897659392 27795318784 55590637568