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8634125412 = 22321147523887
BaseRepresentation
bin10000000101010001…
…00100110001100100
3211021201122000102200
420002220210301210
5120140314003122
63544431134500
7423650566203
oct100250446144
924251560380
108634125412
113730814240
12180b674430
13a77a29663
145bc9b523a
153580095ac
hex202a24c64

8634125412 has 144 divisors (see below), whose sum is σ = 24389793792. Its totient is φ = 2552955840.

The previous prime is 8634125399. The next prime is 8634125413. The reversal of 8634125412 is 2145214368.

It is a happy number.

8634125412 is a `hidden beast` number, since 8 + 634 + 1 + 2 + 5 + 4 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (8634125413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9733633 + ... + 9734519.

It is an arithmetic number, because the mean of its divisors is an integer number (169373568).

Almost surely, 28634125412 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 8634125412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12194896896).

8634125412 is an abundant number, since it is smaller than the sum of its proper divisors (15755668380).

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

8634125412 is a wasteful number, since it uses less digits than its factorization.

8634125412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1473 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The square root of 8634125412 is about 92919.9946835986. The cubic root of 8634125412 is about 2051.5059655603.

The spelling of 8634125412 in words is "eight billion, six hundred thirty-four million, one hundred twenty-five thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 47 66 94 99 132 141 188 198 282 396 423 517 523 564 846 887 1034 1046 1551 1569 1692 1774 2068 2092 2661 3102 3138 3548 4653 4707 5322 5753 6204 6276 7983 9306 9414 9757 10644 11506 15966 17259 18612 18828 19514 23012 24581 29271 31932 34518 39028 41689 49162 51777 58542 69036 73743 83378 87813 98324 103554 117084 125067 147486 166756 175626 207108 221229 250134 270391 294972 351252 375201 442458 458579 463901 500268 540782 750402 811173 884916 917158 927802 1081564 1375737 1391703 1500804 1622346 1834316 1855604 2433519 2751474 2783406 3244692 4127211 4175109 4867038 5102911 5502948 5566812 8254422 8350218 9734076 10205822 15308733 16508844 16700436 20411644 21803347 30617466 43606694 45926199 61234932 65410041 87213388 91852398 130820082 183704796 196230123 239836817 261640164 392460246 479673634 719510451 784920492 959347268 1439020902 2158531353 2878041804 4317062706 8634125412