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13342121496 = 23331131181141
BaseRepresentation
bin11000110110100000…
…01001111000011000
31021102211112222221000
430123100021320120
5204311040341441
610043531545000
7651426106254
oct143320117030
937384488830
1013342121496
1157273093a0
1227042bb160
131348229b62
14907d85264
155314d12b6
hex31b409e18

13342121496 has 128 divisors (see below), whose sum is σ = 41735116800. Its totient is φ = 3912624000.

The previous prime is 13342121491. The next prime is 13342121501. The reversal of 13342121496 is 69412124331.

13342121496 is a `hidden beast` number, since 1 + 3 + 3 + 42 + 121 + 496 = 666.

It is an interprime number because it is at equal distance from previous prime (13342121491) and next prime (13342121501).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 13342121496.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13342121491) 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, 16915 + ... + 164226.

It is an arithmetic number, because the mean of its divisors is an integer number (326055600).

Almost surely, 213342121496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13342121496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20867558400).

13342121496 is an abundant number, since it is smaller than the sum of its proper divisors (28392995304).

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

13342121496 is a wasteful number, since it uses less digits than its factorization.

13342121496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 181198 (or 181188 counting only the distinct ones).

The product of its digits is 31104, while the sum is 36.

It can be divided in two parts, 1334 and 2121496, that added together give a triangular number (2122830 = T2060).

The spelling of 13342121496 in words is "thirteen billion, three hundred forty-two million, one hundred twenty-one thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 31 33 36 44 54 62 66 72 88 93 99 108 124 132 186 198 216 248 264 279 297 341 372 396 558 594 682 744 792 837 1023 1116 1188 1364 1674 2046 2232 2376 2728 3069 3348 4092 6138 6696 8184 9207 12276 18414 24552 36828 73656 181141 362282 543423 724564 1086846 1449128 1630269 1992551 2173692 3260538 3985102 4347384 4890807 5615371 5977653 6521076 7970204 9781614 11230742 11955306 13042152 15940408 16846113 17932959 19563228 22461484 23910612 33692226 35865918 39126456 44922968 47821224 50538339 53798877 61769081 67384452 71731836 101076678 107597754 123538162 134768904 143463672 151615017 185307243 202153356 215195508 247076324 303230034 370614486 404306712 430391016 494152648 555921729 606460068 741228972 1111843458 1212920136 1482457944 1667765187 2223686916 3335530374 4447373832 6671060748 13342121496