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13137710374386 = 23313971391388021
BaseRepresentation
bin1011111100101101110010…
…0011110101110111110010
31201111221201121212101011000
42333023130203311313302
53210222012323440021
643535214131502430
72524111465435353
oct277133443656762
951457647771130
1013137710374386
114205743009264
121582214757a16
13743b5b098350
14335c23525d2a
1517bb1e385b26
hexbf2dc8f5df2

13137710374386 has 128 divisors (see below), whose sum is σ = 31993351891200. Its totient is φ = 3971913615360.

The previous prime is 13137710374361. The next prime is 13137710374417. The reversal of 13137710374386 is 68347301773131.

It is a happy number.

13137710374386 is a `hidden beast` number, since 1 + 3 + 137 + 71 + 0 + 3 + 7 + 438 + 6 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8771056 + ... + 10159076.

It is an arithmetic number, because the mean of its divisors is an integer number (249948061650).

Almost surely, 213137710374386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13137710374386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15996675945600).

13137710374386 is an abundant number, since it is smaller than the sum of its proper divisors (18855641516814).

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

13137710374386 is a wasteful number, since it uses less digits than its factorization.

13137710374386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388281 (or 1388275 counting only the distinct ones).

The product of its (nonzero) digits is 5334336, while the sum is 54.

The spelling of 13137710374386 in words is "thirteen trillion, one hundred thirty-seven billion, seven hundred ten million, three hundred seventy-four thousand, three hundred eighty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 97 117 139 194 234 278 291 351 417 582 702 834 873 1251 1261 1746 1807 2502 2522 2619 3614 3753 3783 5238 5421 7506 7566 10842 11349 13483 16263 22698 26966 32526 34047 40449 48789 68094 80898 97578 121347 175279 242694 350558 364041 525837 728082 1051674 1388021 1577511 2776042 3155022 4164063 4732533 8328126 9465066 12492189 18044273 24984378 36088546 37476567 54132819 74953134 108265638 134638037 162398457 192934919 269276074 324796914 385869838 403914111 487195371 578804757 807828222 974390742 1157609514 1211742333 1736414271 1750294481 2423484666 2508153947 3472828542 3500588962 3635226999 5016307894 5209242813 5250883443 7270453998 7524461841 10418485626 10501766886 15048923682 15752650329 18714687143 22573385523 31505300658 37429374286 45146771046 47257950987 56144061429 67720156569 94515901974 112288122858 135440313138 168432184287 243290932859 336864368574 486581865718 505296552861 729872798577 1010593105722 1459745597154 2189618395731 4379236791462 6568855187193 13137710374386