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23639299632 = 24331330713711
BaseRepresentation
bin10110000001000000…
…110001011000110000
32021000110111211211000
4112001000301120300
5341403130042012
614505412122000
71464542505624
oct260100613060
967013454730
1023639299632
11a03084a773
1246b8906300
1322c9667880
141203785184
159354e1ddc
hex581031630

23639299632 has 160 divisors (see below), whose sum is σ = 73316418560. Its totient is φ = 7249409280.

The previous prime is 23639299631. The next prime is 23639299687. The reversal of 23639299632 is 23699293632.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (23639299631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1717257 + ... + 1730967.

It is an arithmetic number, because the mean of its divisors is an integer number (458227616).

Almost surely, 223639299632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23639299632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36658209280).

23639299632 is an abundant number, since it is smaller than the sum of its proper divisors (49677118928).

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

23639299632 is a wasteful number, since it uses less digits than its factorization.

23639299632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14048 (or 14036 counting only the distinct ones).

The product of its digits is 5668704, while the sum is 54.

The spelling of 23639299632 in words is "twenty-three billion, six hundred thirty-nine million, two hundred ninety-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 307 312 351 432 468 614 624 702 921 936 1228 1404 1842 1872 2456 2763 2808 3684 3991 4912 5526 5616 7368 7982 8289 11052 11973 13711 14736 15964 16578 22104 23946 27422 31928 33156 35919 41133 44208 47892 54844 63856 66312 71838 82266 95784 107757 109688 123399 132624 143676 164532 178243 191568 215514 219376 246798 287352 329064 356486 370197 431028 493596 534729 574704 658128 712972 740394 862056 987192 1069458 1425944 1480788 1604187 1724112 1974384 2138916 2851888 2961576 3208374 4209277 4277832 4812561 5923152 6416748 8418554 8555664 9625122 12627831 12833496 16837108 19250244 25255662 25666992 33674216 37883493 38500488 50511324 54720601 67348432 75766986 77000976 101022648 109441202 113650479 151533972 164161803 202045296 218882404 227300958 303067944 328323606 437764808 454601916 492485409 606135888 656647212 875529616 909203832 984970818 1313294424 1477456227 1818407664 1969941636 2626588848 2954912454 3939883272 5909824908 7879766544 11819649816 23639299632