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12992407032 = 23311375932243
BaseRepresentation
bin11000001100110100…
…00110010111111000
31020112110111122212110
430012122012113320
5203102024011112
65545120212320
7636651431463
oct140632062770
936473448773
1012992407032
115567969780
12262716a0a0
1312c0943917
148b37502da
1551095213c
hex3066865f8

12992407032 has 128 divisors (see below), whose sum is σ = 36469128960. Its totient is φ = 3822520320.

The previous prime is 12992407027. The next prime is 12992407037. The reversal of 12992407032 is 23070429921.

It is an interprime number because it is at equal distance from previous prime (12992407027) and next prime (12992407037).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12992407037) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5791303 + ... + 5793545.

It is an arithmetic number, because the mean of its divisors is an integer number (284915070).

Almost surely, 212992407032 is an apocalyptic number.

12992407032 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 12992407032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18234564480).

12992407032 is an abundant number, since it is smaller than the sum of its proper divisors (23476721928).

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

12992407032 is a wasteful number, since it uses less digits than its factorization.

12992407032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2893 (or 2889 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

It can be divided in two parts, 12992 and 407032, that added together give a palindrome (420024).

The spelling of 12992407032 in words is "twelve billion, nine hundred ninety-two million, four hundred seven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 37 44 66 74 88 111 132 148 222 264 296 407 444 593 814 888 1186 1221 1628 1779 2243 2372 2442 3256 3558 4486 4744 4884 6523 6729 7116 8972 9768 13046 13458 14232 17944 19569 21941 24673 26092 26916 39138 43882 49346 52184 53832 65823 74019 78276 82991 87764 98692 131646 148038 156552 165982 175528 197384 241351 248973 263292 296076 331964 482702 497946 526584 592152 663928 724053 912901 965404 995892 1330099 1448106 1825802 1930808 1991784 2660198 2738703 2896212 3651604 3990297 5320396 5477406 5792424 7303208 7980594 10640792 10954812 14631089 15961188 21909624 29262178 31922376 43893267 49213663 58524356 87786534 98427326 117048712 147640989 175573068 196854652 295281978 351146136 393709304 541350293 590563956 1082700586 1181127912 1624050879 2165401172 3248101758 4330802344 6496203516 12992407032