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13350350772 = 22331115437283
BaseRepresentation
bin11000110111011111…
…00010111110110100
31021110102001002101000
430123233202332310
5204320142211042
610044424203300
7651556052313
oct143357427664
937412032330
1013350350772
115730a1a150
122707009530
131349b4b755
149090c827a
155320a974c
hex31bbe2fb4

13350350772 has 96 divisors (see below), whose sum is σ = 37788226560. Its totient is φ = 4042383840.

The previous prime is 13350350753. The next prime is 13350350773. The reversal of 13350350772 is 27705305331.

13350350772 is a `hidden beast` number, since 1 + 33 + 50 + 3 + 507 + 72 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13350350773) 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, 1829443 + ... + 1836725.

It is an arithmetic number, because the mean of its divisors is an integer number (393627360).

Almost surely, 213350350772 is an apocalyptic number.

13350350772 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 13350350772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18894113280).

13350350772 is an abundant number, since it is smaller than the sum of its proper divisors (24437875788).

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

13350350772 is a wasteful number, since it uses less digits than its factorization.

13350350772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8850 (or 8842 counting only the distinct ones).

The product of its (nonzero) digits is 66150, while the sum is 36.

The spelling of 13350350772 in words is "thirteen billion, three hundred fifty million, three hundred fifty thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 1543 3086 4629 6172 7283 9258 13887 14566 16973 18516 21849 27774 29132 33946 41661 43698 50919 55548 65547 67892 80113 83322 87396 101838 131094 152757 160226 166644 196641 203676 240339 262188 305514 320452 393282 458271 480678 611028 721017 786564 916542 961356 1442034 1833084 2163051 2884068 4326102 8652204 11237669 22475338 33713007 44950676 67426014 101139021 123614359 134852028 202278042 247228718 303417063 370843077 404556084 494457436 606834126 741686154 1112529231 1213668252 1483372308 2225058462 3337587693 4450116924 6675175386 13350350772