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146680282828128 = 2537435076144893
BaseRepresentation
bin100001010110011110101010…
…001001110100110101100000
3201020100111110002221101020110
4201112132222021310311200
5123211202204401000003
61235543554112011320
742616205101316550
oct4126365211646540
9636314402841213
10146680282828128
1142811838789225
121454b755b30b40
1363acb782ca50a
1428315138bd160
1511e575652ba03
hex8567aa274d60

146680282828128 has 96 divisors (see below), whose sum is σ = 450274356677376. Its totient is φ = 40934032409088.

The previous prime is 146680282828111. The next prime is 146680282828187. The reversal of 146680282828128 is 821828282086641.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (66) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2538043551 + ... + 2538101342.

It is an arithmetic number, because the mean of its divisors is an integer number (4690357882056).

Almost surely, 2146680282828128 is an apocalyptic number.

It is an amenable number.

146680282828128 is an abundant number, since it is smaller than the sum of its proper divisors (303594073849248).

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

146680282828128 is a wasteful number, since it uses less digits than its factorization.

146680282828128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5076144956 (or 5076144948 counting only the distinct ones).

The product of its (nonzero) digits is 75497472, while the sum is 66.

The spelling of 146680282828128 in words is "one hundred forty-six trillion, six hundred eighty billion, two hundred eighty-two million, eight hundred twenty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 84 86 96 112 129 168 172 224 258 301 336 344 516 602 672 688 903 1032 1204 1376 1806 2064 2408 3612 4128 4816 7224 9632 14448 28896 5076144893 10152289786 15228434679 20304579572 30456869358 35533014251 40609159144 60913738716 71066028502 81218318288 106599042753 121827477432 142132057004 162436636576 213198085506 218274230399 243654954864 284264114008 426396171012 436548460798 487309909728 568528228016 654822691197 852792342024 873096921596 1137056456032 1309645382394 1527919612793 1705584684048 1746193843192 2619290764788 3055839225586 3411169368096 3492387686384 4583758838379 5238581529576 6111678451172 6984775372768 9167517676758 10477163059152 12223356902344 18335035353516 20954326118304 24446713804688 36670070707032 48893427609376 73340141414064 146680282828128