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4536214252064 = 251124523259019
BaseRepresentation
bin100001000000010101101…
…1100000110101000100000
3121001122202120102000210122
41002000223130012220200
51043310131322031224
613351524050215412
7645505421643335
oct102005334065040
917048676360718
104536214252064
111499885760700
12613194b84568
1326b9bc8b1711
141197a802c98c
157cee607215e
hex4202b706a20

4536214252064 has 72 divisors (see below), whose sum is σ = 9818566495920. Its totient is φ = 2061451736960.

The previous prime is 4536214252049. The next prime is 4536214252111. The reversal of 4536214252064 is 4602524126354.

It is a happy number.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17383547 + ... + 17642565.

It is an arithmetic number, because the mean of its divisors is an integer number (136368979110).

Almost surely, 24536214252064 is an apocalyptic number.

4536214252064 is a gapful number since it is divisible by the number (44) 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 4536214252064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4909283247960).

4536214252064 is an abundant number, since it is smaller than the sum of its proper divisors (5282352243856).

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

4536214252064 is a wasteful number, since it uses less digits than its factorization.

4536214252064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 263574 (or 263555 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 44.

The spelling of 4536214252064 in words is "four trillion, five hundred thirty-six billion, two hundred fourteen million, two hundred fifty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 4523 9046 18092 36184 49753 72368 99506 144736 199012 259019 398024 518038 547283 796048 1036076 1094566 1592096 2072152 2189132 2849209 4144304 4378264 5698418 8288608 8756528 11396836 17513056 22793672 31341299 45587344 62682598 91174688 125365196 250730392 501460784 1002921568 1171542937 2343085874 4686171748 9372343496 12886972307 18744686992 25773944614 37489373984 51547889228 103095778456 141756695377 206191556912 283513390754 412383113824 567026781508 1134053563016 2268107126032 4536214252064