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23173668441 = 32721126592
BaseRepresentation
bin10101100101010000…
…100001111001011001
32012211000100022220100
4111211100201321121
5334424424342231
614351300050013
71450156634400
oct254520417131
965730308810
1023173668441
119911a28100
1245a8993909
132254057161
14119b9b8637
159096b71e6
hex565421e59

23173668441 has 81 divisors (see below), whose sum is σ = 42864740373. Its totient is φ = 12020001840.

The previous prime is 23173668409. The next prime is 23173668443. The reversal of 23173668441 is 14486637132.

The square root of 23173668441 is 152229.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 23173668441 - 25 = 23173668409 is a prime.

It is not an unprimeable number, because it can be changed into a prime (23173668443) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 35164570 + ... + 35165228.

Almost surely, 223173668441 is an apocalyptic number.

23173668441 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

23173668441 is the 152229-th square number.

23173668441 is the 76115-th centered octagonal number.

It is an amenable number.

23173668441 is a deficient number, since it is larger than the sum of its proper divisors (19691071932).

23173668441 is an equidigital number, since it uses as much as digits as its factorization.

23173668441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1360 (or 680 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The spelling of 23173668441 in words is "twenty-three billion, one hundred seventy-three million, six hundred sixty-eight thousand, four hundred forty-one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 659 693 847 1089 1617 1977 2541 4613 4851 5929 5931 7249 7623 13839 17787 21747 32291 41517 50743 53361 65241 79739 96873 152229 239217 290619 355201 434281 456687 558173 717651 1065603 1302843 1674519 3039967 3196809 3907211 3908529 4777091 5023557 9119901 11721633 14331273 21279769 27359703 33439637 35164899 42993819 52548001 63839307 100318911 157644003 191517921 234077459 300956733 367836007 472932009 702232377 1103508021 2106697131 2574852049 3310524063 7724556147 23173668441