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12150801768 = 2337101761941
BaseRepresentation
bin10110101000011111…
…01000010101101000
31011100210212200111010
423110033220111220
5144341101124033
65325413503520
7610052053020
oct132417502550
934323780433
1012150801768
1151758a1236
122431341ba0
1311b8484641
14833a74a80
154b1b0c863
hex2d43e8568

12150801768 has 128 divisors (see below), whose sum is σ = 35143683840. Its totient is φ = 3429120000.

The previous prime is 12150801749. The next prime is 12150801791. The reversal of 12150801768 is 86710805121.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12912178 + ... + 12913118.

It is an arithmetic number, because the mean of its divisors is an integer number (274560030).

Almost surely, 212150801768 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 12150801768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17571841920).

12150801768 is an abundant number, since it is smaller than the sum of its proper divisors (22992882072).

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

12150801768 is a wasteful number, since it uses less digits than its factorization.

12150801768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1819 (or 1815 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 12150801768 in words is "twelve billion, one hundred fifty million, eight hundred one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 101 168 202 303 404 606 707 761 808 941 1212 1414 1522 1882 2121 2283 2424 2823 2828 3044 3764 4242 4566 5327 5646 5656 6088 6587 7528 8484 9132 10654 11292 13174 15981 16968 18264 19761 21308 22584 26348 31962 39522 42616 52696 63924 76861 79044 95041 127848 153722 158088 190082 230583 285123 307444 380164 461166 538027 570246 614888 665287 716101 760328 922332 1076054 1140492 1330574 1432202 1614081 1844664 1995861 2148303 2152108 2280984 2661148 2864404 3228162 3991722 4296606 4304216 5012707 5322296 5728808 6456324 7983444 8593212 10025414 12912648 15038121 15966888 17186424 20050828 30076242 40101656 60152484 72326201 120304968 144652402 216978603 289304804 433957206 506283407 578609608 867914412 1012566814 1518850221 1735828824 2025133628 3037700442 4050267256 6075400884 12150801768