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890190164136 = 2337132551159779
BaseRepresentation
bin11001111010000110111…
…01111111000010101000
310011002201212211210021010
430331003131333002220
5104041102140223021
61520540412343520
7121212512355660
oct14750335770250
93132655753233
10890190164136
1131358915aa29
12124636a74ba0
1365c382c0cc0
143112a6051a0
15182511d3976
hexcf4377f0a8

890190164136 has 128 divisors (see below), whose sum is σ = 2740137523200. Its totient is φ = 234681926400.

The previous prime is 890190164111. The next prime is 890190164179. The reversal of 890190164136 is 631461091098.

It is a happy 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, 5491495 + ... + 5651273.

It is an arithmetic number, because the mean of its divisors is an integer number (21407324400).

Almost surely, 2890190164136 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 890190164136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1370068761600).

890190164136 is an abundant number, since it is smaller than the sum of its proper divisors (1849947359064).

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

890190164136 is a wasteful number, since it uses less digits than its factorization.

890190164136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162359 (or 162355 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 890190164136 in words is "eight hundred ninety billion, one hundred ninety million, one hundred sixty-four thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 2551 5102 7653 10204 15306 17857 20408 30612 33163 35714 53571 61224 66326 71428 99489 107142 132652 142856 159779 198978 214284 232141 265304 319558 397956 428568 464282 479337 639116 696423 795912 928564 958674 1118453 1278232 1392846 1857128 1917348 2077127 2236906 2785692 3355359 3834696 4154254 4473812 5571384 6231381 6710718 8308508 8947624 12462762 13421436 14539889 16617016 24925524 26842872 29079778 43619667 49851048 58159556 87239334 116319112 174478668 348957336 407596229 815192458 1222788687 1630384916 2445577374 2853173603 3260769832 4891154748 5298750977 5706347206 8559520809 9782309496 10597501954 11412694412 15896252931 17119041618 21195003908 22825388824 31792505862 34238083236 37091256839 42390007816 63585011724 68476166472 74182513678 111273770517 127170023448 148365027356 222547541034 296730054712 445095082068 890190164136