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133714353656 = 23134776935573
BaseRepresentation
bin111110010000111111…
…1110001110111111000
3110210010210010221221202
41330201333301313320
54142321333304111
6141232202353332
712442365152522
oct1744177616770
9423123127852
10133714353656
11517872a2aa4
1221ab87bb848
13c7bc582830
146686904a12
153728eb2b3b
hex1f21ff1df8

133714353656 has 64 divisors (see below), whose sum is σ = 276111158400. Its totient is φ = 60321005568.

The previous prime is 133714353653. The next prime is 133714353679. The reversal of 133714353656 is 656353417331.

133714353656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a self number, because there is not a number n which added to its sum of digits gives 133714353656.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133714353653) 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, 3741086 + ... + 3776658.

It is an arithmetic number, because the mean of its divisors is an integer number (4314236850).

Almost surely, 2133714353656 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 133714353656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138055579200).

133714353656 is an abundant number, since it is smaller than the sum of its proper divisors (142396804744).

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

133714353656 is a wasteful number, since it uses less digits than its factorization.

133714353656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36408 (or 36404 counting only the distinct ones).

The product of its digits is 2041200, while the sum is 47.

The spelling of 133714353656 in words is "one hundred thirty-three billion, seven hundred fourteen million, three hundred fifty-three thousand, six hundred fifty-six".

Divisors: 1 2 4 8 13 26 47 52 94 104 188 376 611 769 1222 1538 2444 3076 4888 6152 9997 19994 35573 36143 39988 71146 72286 79976 142292 144572 284584 289144 462449 469859 924898 939718 1671931 1849796 1879436 3343862 3699592 3758872 6687724 13375448 21735103 27355637 43470206 54711274 86940412 109422548 173880824 218845096 355623281 711246562 1285714939 1422493124 2571429878 2844986248 5142859756 10285719512 16714294207 33428588414 66857176828 133714353656