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22634525641040 = 24523104531176827
BaseRepresentation
bin1010010010110000000101…
…10111000100100101010000
32222010211200000020200212222
411021120002313010211100
510431321002031003130
6120050054005440212
74524201434336405
oct511300267044520
988124600220788
1022634525641040
117237280709555
122656880a10068
13c825713510b1
1458373449c2ac
15293b98cb0ce5
hex149602dc4950

22634525641040 has 80 divisors (see below), whose sum is σ = 54918627447168. Its totient is φ = 8659330487808.

The previous prime is 22634525640977. The next prime is 22634525641043. The reversal of 22634525641040 is 4014652543622.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 22634525640982 and 22634525641000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22634525641043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18645107 + ... + 19821933.

Almost surely, 222634525641040 is an apocalyptic number.

22634525641040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22634525641040 is an abundant number, since it is smaller than the sum of its proper divisors (32284101806128).

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

22634525641040 is a wasteful number, since it uses less digits than its factorization.

22634525641040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1187316 (or 1187310 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 22634525641040 in words is "twenty-two trillion, six hundred thirty-four billion, five hundred twenty-five million, six hundred forty-one thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 10453 20906 41812 52265 83624 104530 167248 209060 240419 418120 480838 836240 961676 1176827 1202095 1923352 2353654 2404190 3846704 4707308 4808380 5884135 9414616 9616760 11768270 18829232 19233520 23536540 27067021 47073080 54134042 94146160 108268084 135335105 216536168 270670210 433072336 541340420 1082680840 2165361680 12301372631 24602745262 49205490524 61506863155 98410981048 123013726310 196821962096 246027452620 282931570513 492054905240 565863141026 984109810480 1131726282052 1414657852565 2263452564104 2829315705130 4526905128208 5658631410260 11317262820520 22634525641040