Search a number
-
+
13652354856 = 2337615212557
BaseRepresentation
bin11001011011011111…
…00110011100101000
31022020110022111002110
430231233212130220
5210430000323411
610134413202320
7662214046560
oct145557463450
938213274073
1013652354856
1158764422a8
1227901903a0
13139759b7aa
1493725dda0
1554d8622a6
hex32dbe6728

13652354856 has 128 divisors (see below), whose sum is σ = 39737813760. Its totient is φ = 3827865600.

The previous prime is 13652354851. The next prime is 13652354869. The reversal of 13652354856 is 65845325631.

It is a super-2 number, since 2×136523548562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (13652354851) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5337930 + ... + 5340486.

It is an arithmetic number, because the mean of its divisors is an integer number (310451670).

Almost surely, 213652354856 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 13652354856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19868906880).

13652354856 is an abundant number, since it is smaller than the sum of its proper divisors (26085458904).

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

13652354856 is a wasteful number, since it uses less digits than its factorization.

13652354856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3155 (or 3151 counting only the distinct ones).

The product of its digits is 2592000, while the sum is 48.

The spelling of 13652354856 in words is "thirteen billion, six hundred fifty-two million, three hundred fifty-four thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 521 732 854 1042 1281 1464 1563 1708 2084 2557 2562 3126 3416 3647 4168 5114 5124 6252 7294 7671 10228 10248 10941 12504 14588 15342 17899 20456 21882 29176 30684 31781 35798 43764 53697 61368 63562 71596 87528 95343 107394 127124 143192 155977 190686 214788 222467 254248 311954 381372 429576 444934 467931 623908 667401 762744 889868 935862 1091839 1247816 1332197 1334802 1779736 1871724 2183678 2664394 2669604 3275517 3743448 3996591 4367356 5328788 5339208 6551034 7993182 8734712 9325379 10657576 13102068 15986364 18650758 26204136 27976137 31972728 37301516 55952274 74603032 81264017 111904548 162528034 223809096 243792051 325056068 487584102 568848119 650112136 975168204 1137696238 1706544357 1950336408 2275392476 3413088714 4550784952 6826177428 13652354856