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136556612416 = 2672997108359
BaseRepresentation
bin111111100101101101…
…0001000101101000000
3111001110212100122222201
41333023122020231000
54214131443044131
6142422214042544
712603000024310
oct1771332105500
9431425318881
10136556612416
1152a05714084
1222570649454
13cb53387753
1468761a9440
153843798761
hex1fcb688b40

136556612416 has 112 divisors (see below), whose sum is σ = 323675654400. Its totient is φ = 55923130368.

The previous prime is 136556612411. The next prime is 136556612417. The reversal of 136556612416 is 614216655631.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136556612411) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1206045 + ... + 1314403.

It is an arithmetic number, because the mean of its divisors is an integer number (2889961200).

Almost surely, 2136556612416 is an apocalyptic number.

136556612416 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 136556612416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161837827200).

136556612416 is an abundant number, since it is smaller than the sum of its proper divisors (187119041984).

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

136556612416 is a wasteful number, since it uses less digits than its factorization.

136556612416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108504 (or 108494 counting only the distinct ones).

The product of its digits is 777600, while the sum is 46.

The spelling of 136556612416 in words is "one hundred thirty-six billion, five hundred fifty-six million, six hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 97 112 116 194 203 224 232 388 406 448 464 679 776 812 928 1358 1552 1624 1856 2716 2813 3104 3248 5432 5626 6208 6496 10864 11252 12992 19691 21728 22504 39382 43456 45008 78764 90016 108359 157528 180032 216718 315056 433436 630112 758513 866872 1260224 1517026 1733744 3034052 3142411 3467488 6068104 6284822 6934976 10510823 12136208 12569644 21021646 21996877 24272416 25139288 42043292 43993754 48544832 50278576 73575761 84086584 87987508 100557152 147151522 168173168 175975016 201114304 294303044 304813867 336346336 351950032 588606088 609627734 672692672 703900064 1177212176 1219255468 1407800128 2133697069 2354424352 2438510936 4267394138 4708848704 4877021872 8534788276 9754043744 17069576552 19508087488 34139153104 68278306208 136556612416