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136456947536 = 24721329461677
BaseRepresentation
bin111111100010101110…
…1111100011101010000
3111001012220211011110212
41333011131330131100
54213430434310121
6142404253543252
712600346626200
oct1770535743520
9431186734425
10136456947536
1152964431408
12225431a4b28
13cb38830650
146866c64400
153839b5d25b
hex1fc577c750

136456947536 has 120 divisors (see below), whose sum is σ = 342629710920. Its totient is φ = 52121373696.

The previous prime is 136456947433. The next prime is 136456947541. The reversal of 136456947536 is 635749654631.

It can be written as a sum of positive squares in 4 ways, for example, as 3450857536 + 133006090000 = 58744^2 + 364700^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64730 + ... + 526406.

It is an arithmetic number, because the mean of its divisors is an integer number (2855247591).

Almost surely, 2136456947536 is an apocalyptic number.

136456947536 is a gapful number since it is divisible by the number (16) 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 136456947536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171314855460).

136456947536 is an abundant number, since it is smaller than the sum of its proper divisors (206172763384).

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

136456947536 is a wasteful number, since it uses less digits than its factorization.

136456947536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461741 (or 461728 counting only the distinct ones).

The product of its digits is 48988800, while the sum is 59.

The spelling of 136456947536 in words is "one hundred thirty-six billion, four hundred fifty-six million, nine hundred forty-seven thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 49 52 56 58 91 98 104 112 116 182 196 203 208 232 364 377 392 406 464 637 728 754 784 812 1274 1421 1456 1508 1624 2548 2639 2842 3016 3248 5096 5278 5684 6032 10192 10556 11368 18473 21112 22736 36946 42224 73892 147784 295568 461677 923354 1846708 3231739 3693416 6001801 6463478 7386832 12003602 12926956 13388633 22622173 24007204 25853912 26777266 42012607 45244346 48014408 51707824 53554532 84025214 90488692 93720431 96028816 107109064 168050428 174052229 180977384 187440862 214218128 294088249 336100856 348104458 361954768 374881724 588176498 656043017 672201712 696208916 749763448 1176352996 1218365603 1312086034 1392417832 1499526896 2352705992 2436731206 2624172068 2784835664 4705411984 4873462412 5248344136 8528559221 9746924824 10496688272 17057118442 19493849648 34114236884 68228473768 136456947536