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19734900432 = 24313172964151
BaseRepresentation
bin10010011000010010…
…101010111011010000
31212221100200211000020
4102120102222323100
5310404113303212
613022135223440
71266022612602
oct223022527320
955840624006
1019734900432
118407922875
1239a9217b80
131b267a94a0
14d52dd9172
157a7852d8c
hex4984aaed0

19734900432 has 160 divisors (see below), whose sum is σ = 60138650880. Its totient is φ = 5517926400.

The previous prime is 19734900401. The next prime is 19734900509. The reversal of 19734900432 is 23400943791.

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, 275557 + ... + 339707.

It is an arithmetic number, because the mean of its divisors is an integer number (375866568).

Almost surely, 219734900432 is an apocalyptic number.

19734900432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19734900432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30069325440).

19734900432 is an abundant number, since it is smaller than the sum of its proper divisors (40403750448).

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

19734900432 is a wasteful number, since it uses less digits than its factorization.

19734900432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64221 (or 64215 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 19734900432 in words is "nineteen billion, seven hundred thirty-four million, nine hundred thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 29 34 39 48 51 52 58 68 78 87 102 104 116 136 156 174 204 208 221 232 272 312 348 377 408 442 464 493 624 663 696 754 816 884 986 1131 1326 1392 1479 1508 1768 1972 2262 2652 2958 3016 3536 3944 4524 5304 5916 6032 6409 7888 9048 10608 11832 12818 18096 19227 23664 25636 38454 51272 64151 76908 102544 128302 153816 192453 256604 307632 384906 513208 769812 833963 1026416 1090567 1539624 1667926 1860379 2181134 2501889 3079248 3271701 3335852 3720758 4362268 5003778 5581137 6543402 6671704 7441516 8724536 10007556 11162274 13086804 13343408 14177371 14883032 17449072 20015112 22324548 24184927 26173608 28354742 29766064 31626443 40030224 42532113 44649096 48369854 52347216 56709484 63252886 72554781 85064226 89298192 94879329 96739708 113418968 126505772 145109562 170128452 189758658 193479416 226837936 253011544 290219124 340256904 379517316 386958832 411143759 506023088 580438248 680513808 759034632 822287518 1160876496 1233431277 1518069264 1644575036 2466862554 3289150072 4933725108 6578300144 9867450216 19734900432