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13664736813912 = 23353157439115583
BaseRepresentation
bin1100011011011001000111…
…0010001010001101011000
31210101100002000002110122020
43012312101302022031120
53242340340111021122
645021254325254440
72610146626320252
oct306662162121530
953340060073566
1013664736813912
114399200768798
121648398864420
1378176b523172
1435353bcb0cd2
1518a6b7a22c5c
hexc6d91c8a358

13664736813912 has 128 divisors (see below), whose sum is σ = 35038327541760. Its totient is φ = 4439209582080.

The previous prime is 13664736813911. The next prime is 13664736813997. The reversal of 13664736813912 is 21931863746631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13664736813911) 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, 876892473 + ... + 876908055.

It is an arithmetic number, because the mean of its divisors is an integer number (273736933920).

Almost surely, 213664736813912 is an apocalyptic number.

13664736813912 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 13664736813912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519163770880).

13664736813912 is an abundant number, since it is smaller than the sum of its proper divisors (21373590727848).

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

13664736813912 is a wasteful number, since it uses less digits than its factorization.

13664736813912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20193 (or 20189 counting only the distinct ones).

The product of its digits is 23514624, while the sum is 60.

The spelling of 13664736813912 in words is "thirteen trillion, six hundred sixty-four billion, seven hundred thirty-six million, eight hundred thirteen thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 53 106 157 159 212 314 318 424 471 628 636 942 1256 1272 1884 3768 4391 8321 8782 13173 15583 16642 17564 24963 26346 31166 33284 35128 46749 49926 52692 62332 66568 93498 99852 105384 124664 186996 199704 232723 373992 465446 689387 698169 825899 930892 1378774 1396338 1651798 1861784 2068161 2446531 2477697 2757548 2792676 3303596 4136322 4893062 4955394 5515096 5585352 6607192 7339593 8272644 9786124 9910788 14679186 16545288 19572248 19821576 29358372 36537511 58716744 68424953 73075022 109612533 129666143 136849906 146150044 205274859 219225066 259332286 273699812 292300088 388998429 410549718 438450132 518664572 547399624 777996858 821099436 876900264 1037329144 1555993716 1642198872 3111987432 3626522509 7253045018 10742717621 10879567527 14506090036 21485435242 21759135054 29012180072 32228152863 42970870484 43518270108 64456305726 85941740968 87036540216 128912611452 257825222904 569364033913 1138728067826 1708092101739 2277456135652 3416184203478 4554912271304 6832368406956 13664736813912