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55825403076 = 22325327432
BaseRepresentation
bin110011111111011101…
…000000110011000100
312100002120100022100100
4303333131000303010
51403312300344301
641351300044100
74014256045122
oct637735006304
9170076308310
1055825403076
1121747a91663
12a99b993630
135358906cb1
1429b8290912
1516baee0286
hexcff740cc4

55825403076 has 81 divisors (see below), whose sum is σ = 144020818669. Its totient is φ = 18232792032.

The previous prime is 55825402999. The next prime is 55825403087. The reversal of 55825403076 is 67030452855.

The square root of 55825403076 is 236274.

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

55825403076 is a `hidden beast` number, since 5 + 5 + 8 + 2 + 540 + 30 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 40244372100 + 15581030976 = 200610^2 + 124824^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 75134761 + ... + 75135503.

Almost surely, 255825403076 is an apocalyptic number.

55825403076 is the 236274-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55825403076

55825403076 is an abundant number, since it is smaller than the sum of its proper divisors (88195415593).

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

55825403076 is an equidigital number, since it uses as much as digits as its factorization.

55825403076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1602 (or 801 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 55825403076 in words is "fifty-five billion, eight hundred twenty-five million, four hundred three thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 53 106 159 212 318 477 636 743 954 1486 1908 2229 2809 2972 4458 5618 6687 8427 8916 11236 13374 16854 25281 26748 33708 39379 50562 78758 101124 118137 157516 236274 354411 472548 552049 708822 1104098 1417644 1656147 2087087 2208196 3312294 4174174 4968441 6261261 6624588 8348348 9936882 12522522 18783783 19873764 25045044 29258597 37567566 58517194 75135132 87775791 117034388 175551582 263327373 351103164 526654746 1053309492 1550705641 3101411282 4652116923 6202822564 9304233846 13956350769 18608467692 27912701538 55825403076