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134469606656 = 2871116341851
BaseRepresentation
bin111110100111100000…
…0110101110100000000
3110212002102021210022002
41331033000311310000
54200343204403111
6141435142203132
712500165540360
oct1751700656400
9425072253262
10134469606656
1152034650830
12220897234a8
13c8acb992b8
146718d429a0
15377044b63b
hex1f4f035d00

134469606656 has 144 divisors (see below), whose sum is σ = 336707040768. Its totient is φ = 52068096000.

The previous prime is 134469606643. The next prime is 134469606703. The reversal of 134469606656 is 656606964431.

It is a super-2 number, since 2×1344696066562 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3192131 + ... + 3233981.

Almost surely, 2134469606656 is an apocalyptic number.

134469606656 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 134469606656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168353520384).

134469606656 is an abundant number, since it is smaller than the sum of its proper divisors (202237434112).

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

134469606656 is a wasteful number, since it uses less digits than its factorization.

134469606656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42048 (or 42034 counting only the distinct ones).

The product of its (nonzero) digits is 16796160, while the sum is 56.

The spelling of 134469606656 in words is "one hundred thirty-four billion, four hundred sixty-nine million, six hundred six thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 128 154 163 176 224 256 308 326 352 448 616 652 704 896 1141 1232 1304 1408 1792 1793 2282 2464 2608 2816 3586 4564 4928 5216 7172 9128 9856 10432 12551 14344 18256 19712 20864 25102 28688 36512 41728 41851 50204 57376 73024 83702 100408 114752 146048 167404 200816 229504 292096 292957 334808 401632 459008 460361 585914 669616 803264 920722 1171828 1339232 1606528 1841444 2343656 2678464 3213056 3222527 3682888 4687312 5356928 6445054 6821713 7365776 9374624 10713856 12890108 13643426 14731552 18749248 25780216 27286852 29463104 37498496 47751991 51560432 54573704 58926208 74996992 75038843 95503982 103120864 109147408 117852416 150077686 191007964 206241728 218294816 300155372 382015928 412483456 436589632 525271901 600310744 764031856 824966912 873179264 1050543802 1200621488 1528063712 1746358528 2101087604 2401242976 3056127424 4202175208 4802485952 6112254848 8404350416 9604971904 12224509696 16808700832 19209943808 33617401664 67234803328 134469606656