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23453663640 = 23351147378041
BaseRepresentation
bin10101110101111100…
…101000000110011000
32020112112012120002220
4111311330220012120
5341013114214030
614435141224040
71460126565051
oct256574500630
966475176086
1023453663640
119a45a886a0
124666702020
13229a06c5a4
1411c6c61728
15924073a10
hex575f28198

23453663640 has 128 divisors (see below), whose sum is σ = 78390789120. Its totient is φ = 5564748800.

The previous prime is 23453663581. The next prime is 23453663647. The reversal of 23453663640 is 4636635432.

It is a junction number, because it is equal to n+sod(n) for n = 23453663592 and 23453663601.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23453663647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 126981 + ... + 251060.

It is an arithmetic number, because the mean of its divisors is an integer number (612428040).

Almost surely, 223453663640 is an apocalyptic number.

23453663640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23453663640 is an abundant number, since it is smaller than the sum of its proper divisors (54937125480).

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

23453663640 is a wasteful number, since it uses less digits than its factorization.

23453663640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378113 (or 378109 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 42.

The spelling of 23453663640 in words is "twenty-three billion, four hundred fifty-three million, six hundred sixty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 47 55 60 66 88 94 110 120 132 141 165 188 220 235 264 282 330 376 440 470 517 564 660 705 940 1034 1128 1320 1410 1551 1880 2068 2585 2820 3102 4136 5170 5640 6204 7755 10340 12408 15510 20680 31020 62040 378041 756082 1134123 1512164 1890205 2268246 3024328 3780410 4158451 4536492 5670615 7560820 8316902 9072984 11341230 12475353 15121640 16633804 17767927 20792255 22682460 24950706 33267608 35535854 41584510 45364920 49901412 53303781 62376765 71071708 83169020 88839635 99802824 106607562 124753530 142143416 166338040 177679270 195447197 213215124 249507060 266518905 355358540 390894394 426430248 499014120 533037810 586341591 710717080 781788788 977235985 1066075620 1172683182 1563577576 1954471970 2132151240 2345366364 2931707955 3908943940 4690732728 5863415910 7817887880 11726831820 23453663640