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55949733794955 = 35711133726255997
BaseRepresentation
bin11001011100010110100000…
…00000100001010010001011
321100002202001010222000202010
430232023100000201102023
524313140023322414310
6314554541453111003
714533143363302460
oct1456132000412213
9240082033860663
1055949733794955
1116911170136720
126337524788463
13252b063b18680
14db5da55ad667
156705aabbc320
hex32e2d002148b

55949733794955 has 64 divisors (see below), whose sum is σ = 120194113471488. Its totient is φ = 21463234536960.

The previous prime is 55949733794953. The next prime is 55949733794959.

55949733794955 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 55949733794955 - 21 = 55949733794953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (55949733794951) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 1863112984 + ... + 1863143013.

It is an arithmetic number, because the mean of its divisors is an integer number (1878033022992).

Almost surely, 255949733794955 is an apocalyptic number.

55949733794955 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

55949733794955 is an abundant number, since it is smaller than the sum of its proper divisors (64244379676533).

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

55949733794955 is a wasteful number, since it uses less digits than its factorization.

55949733794955 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3726256036.

The product of its digits is 28934010000, while the sum is 84.

The spelling of 55949733794955 in words is "fifty-five trillion, nine hundred forty-nine billion, seven hundred thirty-three million, seven hundred ninety-four thousand, nine hundred fifty-five".

Divisors: 1 3 5 7 11 13 15 21 33 35 39 55 65 77 91 105 143 165 195 231 273 385 429 455 715 1001 1155 1365 2145 3003 5005 15015 3726255997 11178767991 18631279985 26083791979 40988815967 48441327961 55893839955 78251375937 122966447901 130418959895 145323983883 204944079835 242206639805 286921711769 339089295727 391256879685 532854607571 614832239505 726619919415 860765135307 1017267887181 1434608558845 1598563822713 1695446478635 2664273037855 3729982252997 4303825676535 5086339435905 7992819113565 11189946758991 18649911264985 55949733794955