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13601150532 = 22331911358657
BaseRepresentation
bin11001010101011000…
…10001011001000100
31022002212222000222000
430222230101121010
5210323343304112
610125343505300
7661022605044
oct145254213104
938085860860
1013601150532
11584a549782
122776bb8230
131389ab1188
14930531724
155490ea7dc
hex32ab11644

13601150532 has 96 divisors (see below), whose sum is σ = 37447267200. Its totient is φ = 4257017856.

The previous prime is 13601150477. The next prime is 13601150567. The reversal of 13601150532 is 23505110631.

13601150532 is a `hidden beast` number, since 1 + 3 + 601 + 1 + 5 + 0 + 53 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 13601150496 and 13601150505.

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, 202548 + ... + 261204.

It is an arithmetic number, because the mean of its divisors is an integer number (390075700).

Almost surely, 213601150532 is an apocalyptic number.

13601150532 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 13601150532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18723633600).

13601150532 is an abundant number, since it is smaller than the sum of its proper divisors (23846116668).

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

13601150532 is a wasteful number, since it uses less digits than its factorization.

13601150532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58802 (or 58794 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The spelling of 13601150532 in words is "thirteen billion, six hundred one million, one hundred fifty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 113 114 171 226 228 339 342 452 513 678 684 1017 1026 1356 2034 2052 2147 3051 4068 4294 6102 6441 8588 12204 12882 19323 25764 38646 57969 58657 77292 115938 117314 175971 231876 234628 351942 527913 703884 1055826 1114483 1583739 2111652 2228966 3167478 3343449 4457932 6334956 6628241 6686898 10030347 13256482 13373796 19884723 20060694 26512964 30091041 39769446 40121388 59654169 60182082 79538892 119308338 120364164 125936579 178962507 238616676 251873158 357925014 377809737 503746316 715850028 755619474 1133429211 1511238948 2266858422 3400287633 4533716844 6800575266 13601150532