Search a number
-
+
23623227264 = 273713676031
BaseRepresentation
bin10110000000000011…
…011101011110000000
32020222100021021200010
4112000003131132000
5341340021233024
614504035424520
71464256055460
oct260003353600
966870237603
1023623227264
11a02277231a
1246b3455140
1322c622b0b0
14120159dba0
15933db9b29
hex5800dd780

23623227264 has 128 divisors (see below), whose sum is σ = 77229895680. Its totient is φ = 6230292480.

The previous prime is 23623227181. The next prime is 23623227289. The reversal of 23623227264 is 46272232632.

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

It is a hoax number, since the sum of its digits (39) 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 (39).

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

It is a congruent number.

It is an unprimeable number.

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, 303072 + ... + 372959.

It is an arithmetic number, because the mean of its divisors is an integer number (603358560).

Almost surely, 223623227264 is an apocalyptic number.

23623227264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

23623227264 is an abundant number, since it is smaller than the sum of its proper divisors (53606668416).

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

23623227264 is a wasteful number, since it uses less digits than its factorization.

23623227264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 676068 (or 676056 counting only the distinct ones).

The product of its digits is 290304, while the sum is 39.

Adding to 23623227264 its reverse (46272232632), we get a palindrome (69895459896).

The spelling of 23623227264 in words is "twenty-three billion, six hundred twenty-three million, two hundred twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 52 56 64 78 84 91 96 104 112 128 156 168 182 192 208 224 273 312 336 364 384 416 448 546 624 672 728 832 896 1092 1248 1344 1456 1664 2184 2496 2688 2912 4368 4992 5824 8736 11648 17472 34944 676031 1352062 2028093 2704124 4056186 4732217 5408248 8112372 8788403 9464434 10816496 14196651 16224744 17576806 18928868 21632992 26365209 28393302 32449488 35153612 37857736 43265984 52730418 56786604 61518821 64898976 70307224 75715472 86531968 105460836 113573208 123037642 129797952 140614448 151430944 184556463 210921672 227146416 246075284 259595904 281228896 302861888 369112926 421843344 454292832 492150568 562457792 605723776 738225852 843686688 908585664 984301136 1124915584 1476451704 1687373376 1817171328 1968602272 2952903408 3374746752 3937204544 5905806816 7874409088 11811613632 23623227264