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12137354166 = 23719294711159
BaseRepresentation
bin10110100110111000…
…10101001110110110
31011022212120110211210
423103130111032312
5144324130313131
65324213342250
7606526544130
oct132334251666
934285513753
1012137354166
115169246913
122428937986
1311b5756792
14831d74050
154b0853146
hex2d37153b6

12137354166 has 128 divisors (see below), whose sum is σ = 30855168000. Its totient is φ = 3104244864.

The previous prime is 12137354161. The next prime is 12137354171. The reversal of 12137354166 is 66145373121.

It is an interprime number because it is at equal distance from previous prime (12137354161) and next prime (12137354171).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12137354161) 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 63 ways as a sum of consecutive naturals, for example, 1082095 + ... + 1093253.

It is an arithmetic number, because the mean of its divisors is an integer number (241056000).

Almost surely, 212137354166 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12137354166, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15427584000).

12137354166 is an abundant number, since it is smaller than the sum of its proper divisors (18717813834).

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

12137354166 is a wasteful number, since it uses less digits than its factorization.

12137354166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11266.

The product of its digits is 90720, while the sum is 39.

The spelling of 12137354166 in words is "twelve billion, one hundred thirty-seven million, three hundred fifty-four thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 14 19 21 29 38 42 47 57 58 87 94 114 133 141 174 203 266 282 329 399 406 551 609 658 798 893 987 1102 1218 1363 1653 1786 1974 2679 2726 3306 3857 4089 5358 6251 7714 8178 9541 11159 11571 12502 18753 19082 22318 23142 25897 28623 33477 37506 51794 57246 66954 77691 78113 155382 156226 181279 212021 234339 323611 362558 424042 468678 524473 543837 636063 647222 970833 1048946 1087674 1272126 1484147 1573419 1941666 2265277 2968294 3146838 3671311 4452441 4530554 6148609 6795831 7342622 8904882 9964987 11013933 12297218 13591662 15209717 18445827 19929974 22027866 29894961 30419434 36891654 43040263 45629151 59789922 69754909 86080526 91258302 106468019 129120789 139509818 209264727 212936038 258241578 288984623 319404057 418529454 577969246 638808114 866953869 1733907738 2022892361 4045784722 6068677083 12137354166