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23133313632 = 25311131685119
BaseRepresentation
bin10101100010110110…
…100101101001100000
32012201012102002111210
4111202312211221200
5334334112014012
614343255110120
71446156631032
oct254266455140
965635362453
1023133313632
1198a1174a20
124597372340
132248897c80
1411964b1c52
15905d9523c
hex562da5a60

23133313632 has 96 divisors (see below), whose sum is σ = 71341240320. Its totient is φ = 6470853120.

The previous prime is 23133313607. The next prime is 23133313633. The reversal of 23133313632 is 23631333132.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 23133313632.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23133313633) 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, 828832 + ... + 856287.

It is an arithmetic number, because the mean of its divisors is an integer number (743137920).

Almost surely, 223133313632 is an apocalyptic number.

23133313632 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23133313632 is an abundant number, since it is smaller than the sum of its proper divisors (48207926688).

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

23133313632 is a wasteful number, since it uses less digits than its factorization.

23133313632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1685156 (or 1685148 counting only the distinct ones).

The product of its digits is 17496, while the sum is 30.

Adding to 23133313632 its reverse (23631333132), we get a palindrome (46764646764).

The spelling of 23133313632 in words is "twenty-three billion, one hundred thirty-three million, three hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 66 78 88 96 104 132 143 156 176 208 264 286 312 352 416 429 528 572 624 858 1056 1144 1248 1716 2288 3432 4576 6864 13728 1685119 3370238 5055357 6740476 10110714 13480952 18536309 20221428 21906547 26961904 37072618 40442856 43813094 53923808 55608927 65719641 74145236 80885712 87626188 111217854 131439282 148290472 161771424 175252376 222435708 240972017 262878564 296580944 350504752 444871416 481944034 525757128 593161888 701009504 722916051 889742832 963888068 1051514256 1445832102 1779485664 1927776136 2103028512 2891664204 3855552272 5783328408 7711104544 11566656816 23133313632