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23927732304 = 2437223319343
BaseRepresentation
bin10110010010001101…
…000011100001010000
32021202120020202001120
4112102031003201100
5343000444413204
614554154202240
71504644240330
oct262215034120
967676222046
1023927732304
11a169643483
124779423380
1323443455a8
14122dbc70c0
159509b86d9
hex592343850

23927732304 has 80 divisors (see below), whose sum is σ = 70960791552. Its totient is φ = 6805816704.

The previous prime is 23927732303. The next prime is 23927732321. The reversal of 23927732304 is 40323772932.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23927732303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 84744 + ... + 234599.

Almost surely, 223927732304 is an apocalyptic number.

23927732304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23927732304 is an abundant number, since it is smaller than the sum of its proper divisors (47033059248).

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

23927732304 is a wasteful number, since it uses less digits than its factorization.

23927732304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319584 (or 319578 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 42.

The spelling of 23927732304 in words is "twenty-three billion, nine hundred twenty-seven million, seven hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 223 336 446 669 892 1338 1561 1784 2676 3122 3568 4683 5352 6244 9366 10704 12488 18732 24976 37464 74928 319343 638686 958029 1277372 1916058 2235401 2554744 3832116 4470802 5109488 6706203 7664232 8941604 13412406 15328464 17883208 26824812 35766416 53649624 71213489 107299248 142426978 213640467 284853956 427280934 498494423 569707912 854561868 996988846 1139415824 1495483269 1709123736 1993977692 2990966538 3418247472 3987955384 5981933076 7975910768 11963866152 23927732304