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13349722572 = 22323166118097
BaseRepresentation
bin11000110111011010…
…01001100111001100
31021110100212011122100
430123231021213030
5204320012110242
610044402515100
7651550524654
oct143355114714
937410764570
1013349722572
11573063017a
122706965a90
13134998b834
14908da3364
15531ed354c
hex31bb499cc

13349722572 has 72 divisors (see below), whose sum is σ = 34888310912. Its totient is φ = 4299609600.

The previous prime is 13349722559. The next prime is 13349722577. The reversal of 13349722572 is 27522794331.

13349722572 is a `hidden beast` number, since 1 + 3 + 3 + 4 + 9 + 72 + 2 + 572 = 666.

It is not an unprimeable number, because it can be changed into a prime (13349722577) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 728628 + ... + 746724.

Almost surely, 213349722572 is an apocalyptic number.

13349722572 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 13349722572, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17444155456).

13349722572 is an abundant number, since it is smaller than the sum of its proper divisors (21538588340).

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

13349722572 is a wasteful number, since it uses less digits than its factorization.

13349722572 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18799 (or 18794 counting only the distinct ones).

The product of its digits is 635040, while the sum is 45.

The spelling of 13349722572 in words is "thirteen billion, three hundred forty-nine million, seven hundred twenty-two thousand, five hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 661 1116 1322 1983 2644 3966 5949 7932 11898 18097 20491 23796 36194 40982 54291 61473 72388 81964 108582 122946 162873 184419 217164 245892 325746 368838 561007 651492 737676 1122014 1683021 2244028 3366042 5049063 6732084 10098126 11962117 20196252 23924234 35886351 47848468 71772702 107659053 143545404 215318106 370825627 430636212 741651254 1112476881 1483302508 2224953762 3337430643 4449907524 6674861286 13349722572