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23062433426032 = 24711132362607049
BaseRepresentation
bin1010011111001101001000…
…01001101110101001110000
310000122202011122020102211011
411033212210021232221300
511010323330424113112
6121014422522400304
74600130412445150
oct517464411565160
9100582148212734
1023062433426032
1173917a5483870
1227057a2360094
13cb3a16760c80
1459a328c88760
1529ed907a7aa7
hex14f9a426ea70

23062433426032 has 160 divisors (see below), whose sum is σ = 62603043148800. Its totient is φ = 7933565122560.

The previous prime is 23062433426017. The next prime is 23062433426057.

23062433426032 is nontrivially palindromic in base 10.

It is a congruent 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, 30935157 + ... + 31671892.

It is an arithmetic number, because the mean of its divisors is an integer number (391269019680).

Almost surely, 223062433426032 is an apocalyptic number.

23062433426032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23062433426032 is an abundant number, since it is smaller than the sum of its proper divisors (39540609722768).

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

23062433426032 is a wasteful number, since it uses less digits than its factorization.

23062433426032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62607111 (or 62607105 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 40.

The spelling of 23062433426032 in words is "twenty-three trillion, sixty-two billion, four hundred thirty-three million, four hundred twenty-six thousand, thirty-two".

Divisors: 1 2 4 7 8 11 13 14 16 22 23 26 28 44 46 52 56 77 88 91 92 104 112 143 154 161 176 182 184 208 253 286 299 308 322 364 368 506 572 598 616 644 728 1001 1012 1144 1196 1232 1288 1456 1771 2002 2024 2093 2288 2392 2576 3289 3542 4004 4048 4186 4784 6578 7084 8008 8372 13156 14168 16016 16744 23023 26312 28336 33488 46046 52624 92092 184184 368368 62607049 125214098 250428196 438249343 500856392 688677539 813891637 876498686 1001712784 1377355078 1439962127 1627783274 1752997372 2754710156 2879924254 3255566548 3505994744 4820742773 5509420312 5697241459 5759848508 6511133096 7011989488 8952808007 9641485546 10079734889 11018840624 11394482918 11519697016 13022266192 15839583397 17905616014 18719507651 19282971092 20159469778 22788965836 23039394032 31679166794 35811232028 37439015302 38565942184 40318939556 45577931672 62669656049 63358333588 71622464056 74878030604 77131884368 80637879112 91155863344 110877083779 125339312098 126716667176 131036553557 143244928112 149756061208 161275758224 205914584161 221754167558 250678624196 253433334352 262073107114 299512122416 411829168322 443508335116 501357248392 524146214228 823658336644 887016670232 1002714496784 1048292428456 1441402089127 1647316673288 1774033340464 2096584856912 2882804178254 3294633346576 5765608356508 11531216713016 23062433426032