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100457461494 = 23413318631783
BaseRepresentation
bin101110110001110111…
…0110011011011110110
3100121022001102210110000
41131203232303123312
53121214102231434
6114052144012130
710154300222325
oct1354356633366
9317261383400
10100457461494
1139670688755
1217577001046
13961c51c710
144c0db020bc
15292e49db99
hex1763bb36f6

100457461494 has 160 divisors (see below), whose sum is σ = 250664730624. Its totient is φ = 29861472960.

The previous prime is 100457461493. The next prime is 100457461519. The reversal of 100457461494 is 494164754001.

100457461494 is a `hidden beast` number, since 10 + 0 + 4 + 574 + 61 + 4 + 9 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100457461493) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 56340927 + ... + 56342709.

Almost surely, 2100457461494 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100457461494, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125332365312).

100457461494 is an abundant number, since it is smaller than the sum of its proper divisors (150207269130).

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

100457461494 is a wasteful number, since it uses less digits than its factorization.

100457461494 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2704 (or 2695 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 100457461494 in words is "one hundred billion, four hundred fifty-seven million, four hundred sixty-one thousand, four hundred ninety-four".

Divisors: 1 2 3 6 9 13 18 26 27 31 39 54 62 78 81 93 117 162 186 234 279 351 403 558 702 806 837 863 1053 1209 1674 1726 1783 2106 2418 2511 2589 3566 3627 5022 5178 5349 7254 7767 10698 10881 11219 15534 16047 21762 22438 23179 23301 26753 32094 32643 33657 46358 46602 48141 53506 55273 65286 67314 69537 69903 80259 96282 100971 110546 139074 139806 144423 160518 165819 201942 208611 240777 288846 302913 331638 347789 417222 481554 497457 605826 625833 695578 718549 722331 908739 994914 1043367 1251666 1437098 1444662 1492371 1538729 1817478 1877499 2086734 2155647 2166993 2984742 3077458 3130101 3754998 4311294 4333986 4477113 4616187 6260202 6466941 8954226 9232374 9390303 12933882 13848561 18780606 19400823 20003477 27697122 28170909 38801646 40006954 41545683 47700599 56341818 58202469 60010431 83091366 95401198 116404938 120020862 124637049 143101797 180031293 249274098 286203594 360062586 429305391 540093879 620107787 858610782 1080187758 1240215574 1287916173 1620281637 1860323361 2575832346 3240563274 3720646722 3863748519 5580970083 7727497038 11161940166 16742910249 33485820498 50228730747 100457461494