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113949108728 = 237131931126489
BaseRepresentation
bin110101000011111100…
…1010110100111111000
3101220010022100111010022
41222013321112213320
53331331432434403
6124203020510012
711142523304660
oct1520771264770
9356108314108
10113949108728
1144364334a34
121a1013ab308
13a98c710630
14572d88b1a0
152e6db68d38
hex1a87e569f8

113949108728 has 128 divisors (see below), whose sum is σ = 277699968000. Its totient is φ = 42567275520.

The previous prime is 113949108701. The next prime is 113949108769. The reversal of 113949108728 is 827801949311.

It is a self number, because there is not a number n which added to its sum of digits gives 113949108728.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4288508 + ... + 4314996.

It is an arithmetic number, because the mean of its divisors is an integer number (2169531000).

Almost surely, 2113949108728 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 113949108728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138849984000).

113949108728 is an abundant number, since it is smaller than the sum of its proper divisors (163750859272).

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

113949108728 is a wasteful number, since it uses less digits than its factorization.

113949108728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26845 (or 26841 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 53.

The spelling of 113949108728 in words is "one hundred thirteen billion, nine hundred forty-nine million, one hundred eight thousand, seven hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 19 26 28 38 52 56 76 91 104 133 152 182 247 266 311 364 494 532 622 728 988 1064 1244 1729 1976 2177 2488 3458 4043 4354 5909 6916 8086 8708 11818 13832 16172 17416 23636 26489 28301 32344 41363 47272 52978 56602 76817 82726 105956 113204 153634 165452 185423 211912 226408 307268 330904 344357 370846 503291 537719 614536 688714 741692 1006582 1075438 1377428 1483384 2013164 2150876 2410499 2754856 3523037 4026328 4301752 4820998 6542783 7046074 8238079 9641996 13085566 14092148 16476158 19283992 26171132 28184296 32952316 45799481 52342264 57666553 65904632 91598962 107095027 115333106 156523501 183197924 214190054 230666212 313047002 366395848 428380108 461332424 626094004 749665189 856760216 1095664507 1252188008 1499330378 2034805513 2191329014 2998660756 4069611026 4382658028 5997321512 8139222052 8765316056 14243638591 16278444104 28487277182 56974554364 113949108728