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23380641024 = 2831310332267
BaseRepresentation
bin10101110001100110…
…000100010100000000
32020100102210121220120
4111301212010110000
5340340421003044
614424012140240
71455252112116
oct256146042400
966312717816
1023380641024
119a08842724
124646167680
132287bb3040
1411bb293ab6
1591c94c519
hex571984500

23380641024 has 144 divisors (see below), whose sum is σ = 67107724992. Its totient is φ = 7183908864.

The previous prime is 23380641023. The next prime is 23380641047. The reversal of 23380641024 is 42014608332.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23380641023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10312339 + ... + 10314605.

It is an arithmetic number, because the mean of its divisors is an integer number (466025868).

Almost surely, 223380641024 is an apocalyptic number.

23380641024 is a gapful number since it is divisible by the number (24) 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 23380641024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33553862496).

23380641024 is an abundant number, since it is smaller than the sum of its proper divisors (43727083968).

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

23380641024 is a wasteful number, since it uses less digits than its factorization.

23380641024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3332 (or 3318 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 33.

The spelling of 23380641024 in words is "twenty-three billion, three hundred eighty million, six hundred forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 624 768 832 1033 1248 1664 2066 2267 2496 3099 3328 4132 4534 4992 6198 6801 8264 9068 9984 12396 13429 13602 16528 18136 24792 26858 27204 29471 33056 36272 40287 49584 53716 54408 58942 66112 72544 80574 88413 99168 107432 108816 117884 132224 145088 161148 176826 198336 214864 217632 235768 264448 290176 322296 353652 396672 429728 435264 471536 580352 644592 707304 793344 859456 870528 943072 1289184 1414608 1718912 1741056 1886144 2341811 2578368 2829216 3437824 3772288 4683622 5156736 5658432 7025433 7544576 9367244 10313472 11316864 14050866 18734488 22633728 28101732 30443543 37468976 56203464 60887086 74937952 91330629 112406928 121774172 149875904 182661258 224813856 243548344 299751808 365322516 449627712 487096688 599503616 730645032 899255424 974193376 1461290064 1798510848 1948386752 2922580128 3896773504 5845160256 7793547008 11690320512 23380641024