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23067313632 = 25321129251081
BaseRepresentation
bin10101011110111010…
…110100010111100000
32012112121012221112100
4111132322310113200
5334220213014012
614332540330400
71444425634146
oct253672642740
965477187470
1023067313632
119867996170
124579243a00
132237cca00c
14118b811596
159001a98dc
hex55eeb45e0

23067313632 has 144 divisors (see below), whose sum is σ = 74029016880. Its totient is φ = 6749030400.

The previous prime is 23067313627. The next prime is 23067313639. The reversal of 23067313632 is 23631376032.

23067313632 is a `hidden beast` number, since 2 + 3 + 0 + 6 + 7 + 3 + 13 + 632 = 666.

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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23067313639) by changing a digit.

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, 33669 + ... + 217412.

It is an arithmetic number, because the mean of its divisors is an integer number (514090395).

Almost surely, 223067313632 is an apocalyptic number.

23067313632 is a gapful number since it is divisible by the number (22) 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 23067313632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37014508440).

23067313632 is an abundant number, since it is smaller than the sum of its proper divisors (50961703248).

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

23067313632 is a wasteful number, since it uses less digits than its factorization.

23067313632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 251137 (or 251126 counting only the distinct ones).

The product of its (nonzero) digits is 81648, while the sum is 36.

Adding to 23067313632 its reverse (23631376032), we get a palindrome (46698689664).

The spelling of 23067313632 in words is "twenty-three billion, sixty-seven million, three hundred thirteen thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 29 32 33 36 44 48 58 66 72 87 88 96 99 116 132 144 174 176 198 232 261 264 288 319 348 352 396 464 522 528 638 696 792 928 957 1044 1056 1276 1392 1584 1914 2088 2552 2784 2871 3168 3828 4176 5104 5742 7656 8352 10208 11484 15312 22968 30624 45936 91872 251081 502162 753243 1004324 1506486 2008648 2259729 2761891 3012972 4017296 4519458 5523782 6025944 7281349 8034592 8285673 9038916 11047564 12051888 14562698 16571346 18077832 21844047 22095128 24103776 24857019 29125396 33142692 36155664 43688094 44190256 49714038 58250792 65532141 66285384 72311328 80094839 87376188 88380512 99428076 116501584 131064282 132570768 160189678 174752376 198856152 233003168 240284517 262128564 265141536 320379356 349504752 397712304 480569034 524257128 640758712 699009504 720853551 795424608 961138068 1048514256 1281517424 1441707102 1922276136 2097028512 2563034848 2883414204 3844552272 5766828408 7689104544 11533656816 23067313632