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870637093144 = 237132157585953
BaseRepresentation
bin11001010101101100000…
…00111100000100011000
310002020021012021212100121
430222312000330010120
5103231031043440034
61503544250243024
7116621125121050
oct14526600740430
93066235255317
10870637093144
11306264a3a325
1212089a726474
13641403a9300
14301d381c560
15179a97eb1b4
hexcab603c118

870637093144 has 96 divisors (see below), whose sum is σ = 2033072874720. Its totient is φ = 342233468928.

The previous prime is 870637093133. The next prime is 870637093147. The reversal of 870637093144 is 441390736078.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a junction number, because it is equal to n+sod(n) for n = 870637093091 and 870637093100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (870637093147) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1192872 + ... + 1778824.

It is an arithmetic number, because the mean of its divisors is an integer number (21177842445).

Almost surely, 2870637093144 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 870637093144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1016536437360).

870637093144 is an abundant number, since it is smaller than the sum of its proper divisors (1162435781576).

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

870637093144 is a wasteful number, since it uses less digits than its factorization.

870637093144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586149 (or 586132 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 52.

The spelling of 870637093144 in words is "eight hundred seventy billion, six hundred thirty-seven million, ninety-three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 157 169 182 314 338 364 628 676 728 1099 1183 1256 1352 2041 2198 2366 4082 4396 4732 8164 8792 9464 14287 16328 26533 28574 53066 57148 106132 114296 185731 212264 371462 585953 742924 1171906 1485848 2343812 4101671 4687624 7617389 8203342 15234778 16406684 30469556 32813368 53321723 60939112 91994621 99026057 106643446 183989242 198052114 213286892 367978484 396104228 426573784 643962347 693182399 735956968 792208456 1195930073 1287924694 1386364798 2391860146 2575849388 2772729596 4783720292 5151698776 5545459192 8371510511 9567440584 15547090949 16743021022 31094181898 33486042044 62188363796 66972084088 108829636643 124376727592 217659273286 435318546572 870637093144