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12134157872 = 2419712232521
BaseRepresentation
bin10110100110100000…
…01000111000110000
31011022122120002100112
423103100020320300
5144322321022442
65324021040452
7606460432364
oct132320107060
934278502315
1012134157872
115167463451
122427856128
1311b4ba7995
148317812a4
154b0421082
hex2d3408e30

12134157872 has 80 divisors (see below), whose sum is σ = 25218385920. Its totient is φ = 5639155200.

The previous prime is 12134157821. The next prime is 12134157899. The reversal of 12134157872 is 27875143121.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4811972 + ... + 4814492.

It is an arithmetic number, because the mean of its divisors is an integer number (315229824).

Almost surely, 212134157872 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 12134157872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12609192960).

12134157872 is an abundant number, since it is smaller than the sum of its proper divisors (13084228048).

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

12134157872 is a wasteful number, since it uses less digits than its factorization.

12134157872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2842 (or 2836 counting only the distinct ones).

The product of its digits is 94080, while the sum is 41.

The spelling of 12134157872 in words is "twelve billion, one hundred thirty-four million, one hundred fifty-seven thousand, eight hundred seventy-two".

Divisors: 1 2 4 8 16 19 38 71 76 142 152 223 284 304 446 568 892 1136 1349 1784 2521 2698 3568 4237 5042 5396 8474 10084 10792 15833 16948 20168 21584 31666 33896 40336 47899 63332 67792 95798 126664 178991 191596 253328 300827 357982 383192 562183 601654 715964 766384 1124366 1203308 1431928 2248732 2406616 2863856 3400829 4497464 4813232 6801658 8994928 10681477 13603316 21362954 27206632 39914993 42725908 54413264 79829986 85451816 159659972 170903632 319319944 638639888 758384867 1516769734 3033539468 6067078936 12134157872