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12371127834 = 23131717952121
BaseRepresentation
bin10111000010110000…
…00110111000011010
31011221011110102000210
423201120012320122
5200314002042314
65403324111550
7615365565042
oct134130067032
934834412023
1012371127834
1152791a749a
1224930955b6
1312220075b0
14855028722
154c612e559
hex2e1606e1a

12371127834 has 64 divisors (see below), whose sum is σ = 28371047040. Its totient is φ = 3562506240.

The previous prime is 12371127787. The next prime is 12371127877. The reversal of 12371127834 is 43872117321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 12371127792 and 12371127801.

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, 211294 + ... + 263414.

It is an arithmetic number, because the mean of its divisors is an integer number (443297610).

Almost surely, 212371127834 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12371127834, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14185523520).

12371127834 is an abundant number, since it is smaller than the sum of its proper divisors (15999919206).

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

12371127834 is a wasteful number, since it uses less digits than its factorization.

12371127834 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52335.

The product of its digits is 56448, while the sum is 39.

The spelling of 12371127834 in words is "twelve billion, three hundred seventy-one million, one hundred twenty-seven thousand, eight hundred thirty-four".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 179 221 358 442 537 663 1074 1326 2327 3043 4654 6086 6981 9129 13962 18258 39559 52121 79118 104242 118677 156363 237354 312726 677573 886057 1355146 1772114 2032719 2658171 4065438 5316342 9329659 11518741 18659318 23037482 27988977 34556223 55977954 69112446 121285567 158604203 242571134 317208406 363856701 475812609 727713402 951625218 2061854639 4123709278 6185563917 12371127834