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23132344410 = 23257152324109
BaseRepresentation
bin10101100010110010…
…111001000001011010
32012201010120211222200
4111202302321001122
5334333340010120
614343222231030
71446145453230
oct254262710132
965633524880
1023132344410
1198a067280a
124596b85476
132248618a76
1411962dc950
15905c52e90
hex562cb905a

23132344410 has 96 divisors (see below), whose sum is σ = 68784094080. Its totient is φ = 5283702144.

The previous prime is 23132344393. The next prime is 23132344423. The reversal of 23132344410 is 1444323132.

23132344410 is a `hidden beast` number, since 2 + 3 + 13 + 234 + 4 + 410 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 947436 + ... + 971544.

It is an arithmetic number, because the mean of its divisors is an integer number (716500980).

Almost surely, 223132344410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23132344410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34392047040).

23132344410 is an abundant number, since it is smaller than the sum of its proper divisors (45651749670).

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

23132344410 is a wasteful number, since it uses less digits than its factorization.

23132344410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25652 (or 25649 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 23132344410 its reverse (1444323132), we get a palindrome (24576667542).

The spelling of 23132344410 in words is "twenty-three billion, one hundred thirty-two million, three hundred forty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1523 3046 4569 7615 9138 10661 13707 15230 21322 22845 24109 27414 31983 45690 48218 53305 63966 68535 72327 95949 106610 120545 137070 144654 159915 168763 191898 216981 241090 319830 337526 361635 433962 479745 506289 723270 843815 959490 1012578 1084905 1518867 1687630 2169810 2531445 3037734 5062890 7594335 15188670 36718007 73436014 110154021 183590035 220308042 257026049 330462063 367180070 514052098 550770105 660924126 771078147 1101540210 1285130245 1542156294 1652310315 2313234441 2570260490 3304620630 3855390735 4626468882 7710781470 11566172205 23132344410