Search a number
-
+
12157937816 = 23192347611213
BaseRepresentation
bin10110101001010101…
…10110100010011000
31011101022022020022012
423110222312202120
5144344413002231
65330230445052
7610166523563
oct132452664230
934338266265
1012157937816
1151799256a2
122433803788
1311b9ab275b
148349b14da
154b256be2b
hex2d4ab6898

12157937816 has 128 divisors (see below), whose sum is σ = 26012620800. Its totient is φ = 5298670080.

The previous prime is 12157937767. The next prime is 12157937843. The reversal of 12157937816 is 61873975121.

It is a happy number.

It is a super-3 number, since 3×121579378163 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

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, 10022426 + ... + 10023638.

It is an arithmetic number, because the mean of its divisors is an integer number (203223600).

Almost surely, 212157937816 is an apocalyptic number.

It is an amenable number.

12157937816 is an abundant number, since it is smaller than the sum of its proper divisors (13854682984).

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

12157937816 is a wasteful number, since it uses less digits than its factorization.

12157937816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1369 (or 1365 counting only the distinct ones).

The product of its digits is 635040, while the sum is 50.

The spelling of 12157937816 in words is "twelve billion, one hundred fifty-seven million, nine hundred thirty-seven thousand, eight hundred sixteen".

Divisors: 1 2 4 8 19 23 38 46 47 61 76 92 94 122 152 184 188 244 376 437 488 874 893 1081 1159 1213 1403 1748 1786 2162 2318 2426 2806 2867 3496 3572 4324 4636 4852 5612 5734 7144 8648 9272 9704 11224 11468 20539 22936 23047 26657 27899 41078 46094 53314 54473 55798 57011 65941 73993 82156 92188 106628 108946 111596 114022 131882 147986 164312 184376 213256 217892 223192 228044 263764 295972 435784 456088 527528 530081 591944 1060162 1083209 1252879 1311253 1405867 1701839 2120324 2166418 2505758 2622506 2811734 3403678 3477671 4240648 4332836 5011516 5245012 5623468 6807356 6955342 8665672 10023032 10490024 11246936 13614712 13910684 24913807 27821368 32334941 49827614 64669882 66075749 79986433 99655228 129339764 132151498 159972866 199310456 258679528 264302996 319945732 528605992 639891464 1519742227 3039484454 6078968908 12157937816