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23313249920 = 275315322171
BaseRepresentation
bin10101101101100100…
…111111011010000000
32020011201222210200202
4111231210333122000
5340221142444140
614413203504332
71453503232442
oct255544773200
966151883622
1023313249920
1199837a37a4
1246276880a8
132276c48b4c
1411b2350492
15916a89915
hex56d93f680

23313249920 has 128 divisors (see below), whose sum is σ = 58619220480. Its totient is φ = 8853811200.

The previous prime is 23313249881. The next prime is 23313249961. The reversal of 23313249920 is 2994231332.

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1040435 + ... + 1062605.

It is an arithmetic number, because the mean of its divisors is an integer number (457962660).

Almost surely, 223313249920 is an apocalyptic number.

23313249920 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 23313249920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29309610240).

23313249920 is an abundant number, since it is smaller than the sum of its proper divisors (35305970560).

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

23313249920 is a wasteful number, since it uses less digits than its factorization.

23313249920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22274 (or 22262 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 38.

The spelling of 23313249920 in words is "twenty-three billion, three hundred thirteen million, two hundred forty-nine thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 53 62 64 80 106 124 128 155 160 212 248 265 310 320 424 496 530 620 640 848 992 1060 1240 1643 1696 1984 2120 2480 3286 3392 3968 4240 4960 6572 6784 8215 8480 9920 13144 16430 16960 19840 22171 26288 32860 33920 44342 52576 65720 88684 105152 110855 131440 177368 210304 221710 262880 354736 443420 525760 687301 709472 886840 1051520 1175063 1374602 1418944 1773680 2350126 2749204 2837888 3436505 3547360 4700252 5498408 5875315 6873010 7094720 9400504 10996816 11750630 13746020 14189440 18801008 21993632 23501260 27492040 36426953 37602016 43987264 47002520 54984080 72853906 75204032 87974528 94005040 109968160 145707812 150408064 182134765 188010080 219936320 291415624 364269530 376020160 439872640 582831248 728539060 752040320 1165662496 1457078120 2331324992 2914156240 4662649984 5828312480 11656624960 23313249920