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23073533537032 = 231171211103316943
BaseRepresentation
bin1010011111100001110011…
…10001010010101100001000
310000200210211020001111112101
411033300321301102230020
511011014044041141112
6121023500204323144
74601002446024616
oct517607161225410
9100623736044471
1023073533537032
117396481179520
12270797b8434b4
13cb4a9533a7a4
1459aa9d1786b6
152a02e001e757
hex14fc39c52b08

23073533537032 has 128 divisors (see below), whose sum is σ = 48136814161920. Its totient is φ = 10280676672000.

The previous prime is 23073533537029. The next prime is 23073533537053.

23073533537032 is nontrivially palindromic in base 10.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

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, 1361824353 + ... + 1361841295.

It is an arithmetic number, because the mean of its divisors is an integer number (376068860640).

Almost surely, 223073533537032 is an apocalyptic number.

23073533537032 is a gapful number since it is divisible by the number (22) 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 23073533537032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24068407080960).

23073533537032 is an abundant number, since it is smaller than the sum of its proper divisors (25063280624888).

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

23073533537032 is a wasteful number, since it uses less digits than its factorization.

23073533537032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18275 (or 18271 counting only the distinct ones).

The product of its (nonzero) digits is 3572100, while the sum is 46.

The spelling of 23073533537032 in words is "twenty-three trillion, seventy-three billion, five hundred thirty-three million, five hundred thirty-seven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 71 88 142 211 284 422 568 781 844 1033 1562 1688 2066 2321 3124 4132 4642 6248 8264 9284 11363 14981 16943 18568 22726 29962 33886 45452 59924 67772 73343 90904 119848 135544 146686 164791 186373 217963 293372 329582 372746 435926 586744 659164 745492 806773 871852 1202953 1318328 1490984 1613546 1743704 2397593 2405906 3227092 3574973 4795186 4811812 6454184 7149946 9590372 9623624 13232483 14299892 15475373 17502119 19180744 26464966 28599784 30950746 35004238 39324703 52929932 61901492 70008476 78649406 105859864 123802984 140016952 157298812 170229103 192523309 253823083 314597624 340458206 385046618 507646166 680916412 770093236 1015292332 1242650449 1361832824 1540186472 2030584664 2485300898 2792053913 3692947109 4970601796 5584107826 7385894218 9941203592 11168215652 13669154939 14771788436 22336431304 27338309878 29543576872 40622418199 54676619756 81244836398 109353239512 162489672796 262199244739 324979345592 524398489478 1048796978956 2097593957912 2884191692129 5768383384258 11536766768516 23073533537032