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12667649832 = 2333232110863
BaseRepresentation
bin10111100110000110…
…01111111100101000
31012200211102021202000
423303003033330220
5201420404243312
65452555411000
7625626150465
oct136303177450
935624367660
1012667649832
1154106158a2
122556453a60
13126b5882b6
1488257466c
154e21a2adc
hex2f30cff28

12667649832 has 96 divisors (see below), whose sum is σ = 36784675200. Its totient is φ = 4038924384.

The previous prime is 12667649779. The next prime is 12667649837. The reversal of 12667649832 is 23894676621.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (12667649837) 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 23 ways as a sum of consecutive naturals, for example, 58833 + ... + 169695.

It is an arithmetic number, because the mean of its divisors is an integer number (383173700).

Almost surely, 212667649832 is an apocalyptic number.

12667649832 is a gapful number since it is divisible by the number (12) 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 12667649832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18392337600).

12667649832 is an abundant number, since it is smaller than the sum of its proper divisors (24117025368).

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

12667649832 is a wasteful number, since it uses less digits than its factorization.

12667649832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110924 (or 110891 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 12667649832 in words is "twelve billion, six hundred sixty-seven million, six hundred forty-nine thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 414 529 552 621 828 1058 1242 1587 1656 2116 2484 3174 4232 4761 4968 6348 9522 12696 14283 19044 28566 38088 57132 110863 114264 221726 332589 443452 665178 886904 997767 1330356 1995534 2549849 2660712 2993301 3991068 5099698 5986602 7649547 7982136 10199396 11973204 15299094 20398792 22948641 23946408 30598188 45897282 58646527 61196376 68845923 91794564 117293054 137691846 175939581 183589128 234586108 275383692 351879162 469172216 527818743 550767384 703758324 1055637486 1407516648 1583456229 2111274972 3166912458 4222549944 6333824916 12667649832