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116420433465 = 35719714311907
BaseRepresentation
bin110110001101100110…
…0101101011000111001
3102010111112120210100010
41230123030231120321
53401412112332330
6125252141532133
711261002233240
oct1543314553071
9363445523303
10116420433465
1145412332876
121a690b74049
13ac9470ca6b
1458c5b95957
153065acd3b0
hex1b1b32d639

116420433465 has 128 divisors (see below), whose sum is σ = 227890298880. Its totient is φ = 49568198400.

The previous prime is 116420433421. The next prime is 116420433527. The reversal of 116420433465 is 564334024611.

It is not a de Polignac number, because 116420433465 - 26 = 116420433401 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 61048042 + ... + 61049948.

It is an arithmetic number, because the mean of its divisors is an integer number (1780392960).

Almost surely, 2116420433465 is an apocalyptic number.

116420433465 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

116420433465 is a deficient number, since it is larger than the sum of its proper divisors (111469865415).

116420433465 is a wasteful number, since it uses less digits than its factorization.

116420433465 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2443.

The product of its (nonzero) digits is 207360, while the sum is 39.

The spelling of 116420433465 in words is "one hundred sixteen billion, four hundred twenty million, four hundred thirty-three thousand, four hundred sixty-five".

Divisors: 1 3 5 7 15 19 21 35 57 71 95 105 133 213 285 355 399 431 497 665 1065 1293 1349 1491 1907 1995 2155 2485 3017 4047 5721 6465 6745 7455 8189 9051 9443 9535 13349 15085 20235 24567 28329 28605 30601 36233 40047 40945 45255 47215 57323 66745 91803 108699 122835 135397 141645 153005 171969 181165 200235 214207 253631 286615 406191 459015 543495 581419 642621 676985 760893 821917 859845 947779 1071035 1268155 1744257 2030955 2465751 2572543 2843337 2907095 3213105 3804465 4069933 4109585 4738895 5753419 7717629 8721285 12209799 12328755 12862715 14216685 15616423 17260257 18007801 20349665 28767095 38588145 46849269 54023403 58356107 61048995 78082115 86301285 90039005 109314961 175068321 234246345 270117015 291780535 327944883 408492749 546574805 875341605 1108766033 1225478247 1639724415 2042463745 3326298099 5543830165 6127391235 7761362231 16631490495 23284086693 38806811155 116420433465