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12955282992 = 2433411494909
BaseRepresentation
bin11000001000011000…
…11110111000110000
31020102212122120021000
430010030132320300
5203013023023432
65541312402000
7636021042231
oct140414367060
936385576230
1012955282992
115548a12953
122616846300
1312b6046132
148ac849088
1550c56c57c
hex30431ee30

12955282992 has 160 divisors (see below), whose sum is σ = 38356920000. Its totient is φ = 4183971840.

The previous prime is 12955282957. The next prime is 12955282999. The reversal of 12955282992 is 29928255921.

12955282992 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 528 + 29 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12955282999) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2636634 + ... + 2641542.

It is an arithmetic number, because the mean of its divisors is an integer number (239730750).

Almost surely, 212955282992 is an apocalyptic number.

12955282992 is a gapful number since it is divisible by the number (12) 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 12955282992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19178460000).

12955282992 is an abundant number, since it is smaller than the sum of its proper divisors (25401637008).

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

12955282992 is a wasteful number, since it uses less digits than its factorization.

12955282992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5116 (or 5104 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 54.

The spelling of 12955282992 in words is "twelve billion, nine hundred fifty-five million, two hundred eighty-two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 41 48 54 72 82 108 123 144 149 164 216 246 298 328 369 432 447 492 596 656 738 894 984 1107 1192 1341 1476 1788 1968 2214 2384 2682 2952 3576 4023 4428 4909 5364 5904 6109 7152 8046 8856 9818 10728 12218 14727 16092 17712 18327 19636 21456 24436 29454 32184 36654 39272 44181 48872 54981 58908 64368 73308 78544 88362 97744 109962 117816 132543 146616 164943 176724 201269 219924 235632 265086 293232 329886 353448 402538 439848 530172 603807 659772 706896 731441 805076 879696 1060344 1207614 1319544 1462882 1610152 1811421 2120688 2194323 2415228 2639088 2925764 3220304 3622842 4388646 4830456 5434263 5851528 6582969 7245684 8777292 9660912 10868526 11703056 13165938 14491368 17554584 19748907 21737052 26331876 28982736 29989081 35109168 39497814 43474104 52663752 59978162 78995628 86948208 89967243 105327504 119956324 157991256 179934486 239912648 269901729 315982512 359868972 479825296 539803458 719737944 809705187 1079606916 1439475888 1619410374 2159213832 3238820748 4318427664 6477641496 12955282992