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32074978140 = 223251741255659
BaseRepresentation
bin11101110111110100…
…010101001101011100
310001210100201201021100
4131313310111031130
51011142143300030
622422434033100
72213563546542
oct356764251534
9101710651240
1032074978140
111266a5418a7
126271a18790
133042231b0a
1417a3c5dd92
15c7ad9c360
hex777d1535c

32074978140 has 144 divisors (see below), whose sum is σ = 105530312160. Its totient is φ = 7853813760.

The previous prime is 32074978127. The next prime is 32074978217. The reversal of 32074978140 is 4187947023.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2370 + ... + 253289.

It is an arithmetic number, because the mean of its divisors is an integer number (732849390).

Almost surely, 232074978140 is an apocalyptic number.

32074978140 is a gapful number since it is divisible by the number (30) 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 32074978140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52765156080).

32074978140 is an abundant number, since it is smaller than the sum of its proper divisors (73455334020).

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

32074978140 is a wasteful number, since it uses less digits than its factorization.

32074978140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255732 (or 255727 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 32074978140 in words is "thirty-two billion, seventy-four million, nine hundred seventy-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 41 45 51 60 68 82 85 90 102 123 153 164 170 180 204 205 246 255 306 340 369 410 492 510 612 615 697 738 765 820 1020 1230 1394 1476 1530 1845 2091 2460 2788 3060 3485 3690 4182 6273 6970 7380 8364 10455 12546 13940 20910 25092 31365 41820 62730 125460 255659 511318 766977 1022636 1278295 1533954 2300931 2556590 3067908 3834885 4346203 4601862 5113180 7669770 8692406 9203724 10482019 11504655 13038609 15339540 17384812 20964038 21731015 23009310 26077218 31446057 39115827 41928076 43462030 46018620 52154436 52410095 62892114 65193045 78231654 86924060 94338171 104820190 125784228 130386090 156463308 157230285 178194323 188676342 195579135 209640380 260772180 314460570 356388646 377352684 391158270 471690855 534582969 628921140 712777292 782316540 890971615 943381710 1069165938 1603748907 1781943230 1886763420 2138331876 2672914845 3207497814 3563886460 5345829690 6414995628 8018744535 10691659380 16037489070 32074978140