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23332109472 = 2532752322129
BaseRepresentation
bin10101101110101100…
…111011110010100000
32020020001110222010200
4111232230323302200
5340241010000342
614415120025200
71454122441530
oct255654736240
966201428120
1023332109472
119993405201
124631a62200
13227ab20149
1411b4a5d4c0
1591856294c
hex56eb3bca0

23332109472 has 144 divisors (see below), whose sum is σ = 75977778240. Its totient is φ = 6653270016.

The previous prime is 23332109453. The next prime is 23332109491. The reversal of 23332109472 is 27490123332.

It is an interprime number because it is at equal distance from previous prime (23332109453) and next prime (23332109491).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1043304 + ... + 1065432.

It is an arithmetic number, because the mean of its divisors is an integer number (527623460).

Almost surely, 223332109472 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 23332109472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37988889120).

23332109472 is an abundant number, since it is smaller than the sum of its proper divisors (52645668768).

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

23332109472 is a wasteful number, since it uses less digits than its factorization.

23332109472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22675 (or 22664 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 23332109472 in words is "twenty-three billion, three hundred thirty-two million, one hundred nine thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 288 336 504 523 672 1008 1046 1569 2016 2092 3138 3661 4184 4707 6276 7322 8368 9414 10983 12552 14644 16736 18828 21966 22129 25104 29288 32949 37656 43932 44258 50208 58576 65898 66387 75312 87864 88516 117152 131796 132774 150624 154903 175728 177032 199161 263592 265548 309806 351456 354064 398322 464709 527184 531096 619612 708128 796644 929418 1054368 1062192 1239224 1394127 1593288 1858836 2124384 2478448 2788254 3186576 3717672 4956896 5576508 6373152 7435344 11153016 11573467 14870688 22306032 23146934 34720401 44612064 46293868 69440802 81014269 92587736 104161203 138881604 162028538 185175472 208322406 243042807 277763208 324057076 370350944 416644812 486085614 555526416 648114152 729128421 833289624 972171228 1111052832 1296228304 1458256842 1666579248 1944342456 2592456608 2916513684 3333158496 3888684912 5833027368 7777369824 11666054736 23332109472