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12158113845400 = 2352107796371347
BaseRepresentation
bin1011000011101100100000…
…0011101001000010011000
31121001022012212011200002121
42300323020003221002120
53043144304121023100
641505205502311024
72363252252352505
oct260731003510230
947038185150077
1012158113845400
113968255339106
1214443a7888474
136a2674c628a3
14300654bd04ac
151613d8ed751a
hexb0ec80e9098

12158113845400 has 96 divisors (see below), whose sum is σ = 28535781003840. Its totient is φ = 4817122104960.

The previous prime is 12158113845391. The next prime is 12158113845431. The reversal of 12158113845400 is 454831185121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 170372527 + ... + 170443873.

It is an arithmetic number, because the mean of its divisors is an integer number (297247718790).

Almost surely, 212158113845400 is an apocalyptic number.

12158113845400 is a gapful number since it is divisible by the number (10) 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 12158113845400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14267890501920).

12158113845400 is an abundant number, since it is smaller than the sum of its proper divisors (16377667158440).

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

12158113845400 is a wasteful number, since it uses less digits than its factorization.

12158113845400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79433 (or 79424 counting only the distinct ones).

The product of its (nonzero) digits is 153600, while the sum is 43.

The spelling of 12158113845400 in words is "twelve trillion, one hundred fifty-eight billion, one hundred thirteen million, eight hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 107 200 214 428 535 856 1070 2140 2675 4280 5350 7963 10700 15926 21400 31852 39815 63704 71347 79630 142694 159260 199075 285388 318520 356735 398150 570776 713470 796300 852041 1426940 1592600 1704082 1783675 2853880 3408164 3567350 4260205 6816328 7134700 7634129 8520410 14269400 15268258 17040820 21301025 30536516 34081640 38170645 42602050 61073032 76341290 85204100 152682580 170408200 190853225 305365160 381706450 568136161 763412900 1136272322 1526825800 2272544644 2840680805 4545089288 5681361610 11362723220 14203404025 22725446440 28406808050 56813616100 60790569227 113627232200 121581138454 243162276908 303952846135 486324553816 607905692270 1215811384540 1519764230675 2431622769080 3039528461350 6079056922700 12158113845400