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23679532660 = 22576113212099
BaseRepresentation
bin10110000011011010…
…001111111001110100
32021010021012220011011
4112003122033321310
5341443430021120
614513410322004
71465541464240
oct260332177164
967107186134
1023679532660
11a05152a403
12470a289304
132304ab34b4
141208c59420
15938cdcc5a
hex58368fe74

23679532660 has 96 divisors (see below), whose sum is σ = 57833798400. Its totient is φ = 7975756800.

The previous prime is 23679532627. The next prime is 23679532663. The reversal of 23679532660 is 6623597632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23679532663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11280291 + ... + 11282389.

It is an arithmetic number, because the mean of its divisors is an integer number (602435400).

Almost surely, 223679532660 is an apocalyptic number.

23679532660 is a gapful number since it is divisible by the number (20) 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 23679532660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28916899200).

23679532660 is an abundant number, since it is smaller than the sum of its proper divisors (34154265740).

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

23679532660 is a wasteful number, since it uses less digits than its factorization.

23679532660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3497 (or 3495 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 49.

The spelling of 23679532660 in words is "twenty-three billion, six hundred seventy-nine million, five hundred thirty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 61 70 122 140 244 305 427 610 854 1220 1321 1708 2099 2135 2642 4198 4270 5284 6605 8396 8540 9247 10495 13210 14693 18494 20990 26420 29386 36988 41980 46235 58772 73465 80581 92470 128039 146930 161162 184940 256078 293860 322324 402905 512156 564067 640195 805810 896273 1128134 1280390 1611620 1792546 2256268 2560780 2772779 2820335 3585092 4481365 5545558 5640670 8962730 11091116 11281340 13863895 17925460 19409453 27727790 38818906 55455580 77637812 97047265 169139519 194094530 338279038 388189060 676558076 845697595 1183976633 1691395190 2367953266 3382790380 4735906532 5919883165 11839766330 23679532660