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12913828793112 = 23313373791107319
BaseRepresentation
bin1011101111101011110000…
…1011011000101100011000
31200201112211221011122220110
42323322330023120230120
53143040010132334422
643244310412324320
72501664500415102
oct273727413305430
950645757148813
1012913828793112
1141297a6766635
1215469531736a0
137289cc1720c0
14329065832572
15175db951260c
hexbbebc2d8b18

12913828793112 has 64 divisors (see below), whose sum is σ = 34768962144000. Its totient is φ = 3973375891584.

The previous prime is 12913828793111. The next prime is 12913828793113. The reversal of 12913828793112 is 21139782831921.

It is an interprime number because it is at equal distance from previous prime (12913828793111) and next prime (12913828793113).

It is a super-3 number, since 3×129138287931123 (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12913828793111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11108589 + ... + 12215907.

It is an arithmetic number, because the mean of its divisors is an integer number (543265033500).

Almost surely, 212913828793112 is an apocalyptic number.

12913828793112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

12913828793112 is an abundant number, since it is smaller than the sum of its proper divisors (21855133350888).

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

12913828793112 is a wasteful number, since it uses less digits than its factorization.

12913828793112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1144720 (or 1144716 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 57.

The spelling of 12913828793112 in words is "twelve trillion, nine hundred thirteen billion, eight hundred twenty-eight million, seven hundred ninety-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 37379 74758 112137 149516 224274 299032 448548 485927 897096 971854 1107319 1457781 1943708 2214638 2915562 3321957 3887416 4429276 5831124 6643914 8858552 11662248 13287828 14395147 26575656 28790294 43185441 57580588 86370882 115161176 172741764 345483528 41390476901 82780953802 124171430703 165561907604 248342861406 331123815208 496685722812 538076199713 993371445624 1076152399426 1614228599139 2152304798852 3228457198278 4304609597704 6456914396556 12913828793112