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356452350138 = 2347352157853
BaseRepresentation
bin1010010111111100011…
…01110011100010111010
31021002001202222112210000
411023332031303202322
521320003300201023
6431430230533430
734516135661463
oct5137615634272
91232052875700
10356452350138
11128197071525
12590bb207276
13277c85a79a1
1413376791d6a
159413741243
hex52fe3738ba

356452350138 has 80 divisors (see below), whose sum is σ = 811226705256. Its totient is φ = 116962859520.

The previous prime is 356452350113. The next prime is 356452350139. The reversal of 356452350138 is 831053254653.

356452350138 is a `hidden beast` number, since 3 + 5 + 64 + 52 + 3 + 501 + 38 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 212975789049 + 143476561089 = 461493^2 + 378783^2 .

It is a junction number, because it is equal to n+sod(n) for n = 356452350093 and 356452350102.

It is not an unprimeable number, because it can be changed into a prime (356452350139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6132420 + ... + 6190272.

Almost surely, 2356452350138 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356452350138, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405613352628).

356452350138 is an abundant number, since it is smaller than the sum of its proper divisors (454774355118).

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

356452350138 is a wasteful number, since it uses less digits than its factorization.

356452350138 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58461 (or 58452 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 45.

The spelling of 356452350138 in words is "three hundred fifty-six billion, four hundred fifty-two million, three hundred fifty thousand, one hundred thirty-eight".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 438 521 657 1042 1314 1563 1971 3126 3942 4689 5913 9378 11826 14067 28134 38033 42201 57853 76066 84402 114099 115706 173559 228198 342297 347118 520677 684594 1026891 1041354 1562031 2053782 3080673 3124062 4223269 4686093 6161346 8446538 9372186 12669807 25339614 30141413 38009421 60282826 76018842 90424239 114028263 180848478 228056526 271272717 342084789 542545434 684169578 813818151 1627636302 2200323149 2441454453 4400646298 4882908906 6600969447 13201938894 19802908341 39605816682 59408725023 118817450046 178226175069 356452350138