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13350246132 = 22317237338977
BaseRepresentation
bin11000110111011110…
…01001011011110100
31021110101211202211110
430123233021123310
5204320130334012
610044422035020
7651555135246
oct143357113364
937411752743
1013350246132
115730958573
122706b78a70
131349b12c32
1490909c096
1553208873c
hex31bbc96f4

13350246132 has 96 divisors (see below), whose sum is σ = 34889363712. Its totient is φ = 3951230976.

The previous prime is 13350246121. The next prime is 13350246157. The reversal of 13350246132 is 23164205331.

It is a super-2 number, since 2×133502461322 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13350246132.

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, 323028 + ... + 362004.

It is an arithmetic number, because the mean of its divisors is an integer number (363430872).

Almost surely, 213350246132 is an apocalyptic number.

13350246132 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 13350246132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444681856).

13350246132 is an abundant number, since it is smaller than the sum of its proper divisors (21539117580).

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

13350246132 is a wasteful number, since it uses less digits than its factorization.

13350246132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39097 (or 39095 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The spelling of 13350246132 in words is "thirteen billion, three hundred fifty million, two hundred forty-six thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 23 34 46 51 68 69 73 92 102 138 146 204 219 276 292 391 438 782 876 1173 1241 1564 1679 2346 2482 3358 3723 4692 4964 5037 6716 7446 10074 14892 20148 28543 38977 57086 77954 85629 114172 116931 155908 171258 233862 342516 467724 662609 896471 1325218 1792942 1987827 2650436 2689413 2845321 3585884 3975654 5378826 5690642 7951308 8535963 10757652 11381284 15240007 17071926 30480014 34143852 45720021 48370457 60960028 65442383 91440042 96740914 130884766 145111371 182880084 193481828 196327149 261769532 290222742 392654298 580445484 785308596 1112520511 2225041022 3337561533 4450082044 6675123066 13350246132