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51343412505 = 3572117189443
BaseRepresentation
bin101111110100010011…
…100100110100011001
311220112012200121010120
4233310103210310121
51320122403200010
635330431303453
73465223543200
oct576423446431
9156465617116
1051343412505
111a858021820
129b4a97ab89
134ac3197878
1426b0d12237
1515077ace70
hexbf44e4d19

51343412505 has 96 divisors (see below), whose sum is σ = 105718514688. Its totient is φ = 21036758400.

The previous prime is 51343412459. The next prime is 51343412537. The reversal of 51343412505 is 50521434315.

It is not a de Polignac number, because 51343412505 - 214 = 51343396121 is a prime.

It is a super-2 number, since 2×513434125052 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 95 ways as a sum of consecutive naturals, for example, 529314 + ... + 618756.

It is an arithmetic number, because the mean of its divisors is an integer number (1101234528).

Almost surely, 251343412505 is an apocalyptic number.

51343412505 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

51343412505 is an abundant number, since it is smaller than the sum of its proper divisors (54375102183).

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

51343412505 is a wasteful number, since it uses less digits than its factorization.

51343412505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89547 (or 89540 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 33.

The spelling of 51343412505 in words is "fifty-one billion, three hundred forty-three million, four hundred twelve thousand, five hundred five".

Divisors: 1 3 5 7 11 15 21 33 35 49 55 71 77 105 147 165 213 231 245 355 385 497 539 735 781 1065 1155 1491 1617 2343 2485 2695 3479 3905 5467 7455 8085 10437 11715 16401 17395 27335 38269 52185 82005 89443 114807 191345 268329 447215 574035 626101 983873 1341645 1878303 2951619 3130505 4382707 4919365 6350453 6887111 9391515 13148121 14758095 19051359 20661333 21913535 31752265 34435555 44453171 48209777 65740605 69854983 95256795 103306665 133359513 144629331 209564949 222265855 241048885 311172197 349274915 488984881 666797565 723146655 933516591 1047824745 1466954643 1555860985 2444924405 3422894167 4667582955 7334773215 10268682501 17114470835 51343412505