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134261261556 = 22317412391519
BaseRepresentation
bin111110100001010011…
…0000100010011110100
3110211112220020202112220
41331002212010103310
54144431340332211
6141402340442340
712462055615302
oct1750246042364
9424486222486
10134261261556
1151a37a88aa4
122202b9a93b0
13c87897c786
1466d93cb272
15375bee4806
hex1f429844f4

134261261556 has 72 divisors (see below), whose sum is σ = 339992835840. Its totient is φ = 41093729280.

The previous prime is 134261261551. The next prime is 134261261557. The reversal of 134261261556 is 655162162431.

It is a super-2 number, since 2×1342612615562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134261261551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147165 + ... + 538683.

It is an arithmetic number, because the mean of its divisors is an integer number (4722122720).

Almost surely, 2134261261556 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 134261261556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169996417920).

134261261556 is an abundant number, since it is smaller than the sum of its proper divisors (205731574284).

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

134261261556 is a wasteful number, since it uses less digits than its factorization.

134261261556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391625 (or 391582 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 134261261556 in words is "one hundred thirty-four billion, two hundred sixty-one million, two hundred sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 12 17 34 41 51 68 82 102 123 164 204 246 492 697 1394 1681 2091 2788 3362 4182 5043 6724 8364 10086 20172 28577 57154 85731 114308 171462 342924 391519 783038 1174557 1566076 2349114 4698228 6655823 13311646 16052279 19967469 26623292 32104558 39934938 48156837 64209116 79869876 96313674 192627348 272888743 545777486 658143439 818666229 1091554972 1316286878 1637332458 1974430317 2632573756 3274664916 3948860634 7897721268 11188438463 22376876926 33565315389 44753753852 67130630778 134261261556