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352103353056 = 25357131926189
BaseRepresentation
bin1010001111110101111…
…11101100101011100000
31020122211200120121100000
411013322333230223200
521232101424244211
6425430512500000
734303310055630
oct5077277545340
91218750517300
10352103353056
11126365188664
12582a684a600
1327284591730
1413082d526c0
15925ba2e656
hex51fafecae0

352103353056 has 576 divisors, whose sum is σ = 1345319539200. Its totient is φ = 87971567616.

The previous prime is 352103353039. The next prime is 352103353061. The reversal of 352103353056 is 650353301253.

352103353056 is a `hidden beast` number, since 3 + 5 + 2 + 10 + 335 + 305 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 352103353056.

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 13431610 + ... + 13457798.

It is an arithmetic number, because the mean of its divisors is an integer number (2335624200).

Almost surely, 2352103353056 is an apocalyptic number.

352103353056 is a gapful number since it is divisible by the number (36) 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 352103353056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (672659769600).

352103353056 is an abundant number, since it is smaller than the sum of its proper divisors (993216186144).

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

352103353056 is a wasteful number, since it uses less digits than its factorization.

352103353056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26253 (or 26233 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 36.

The spelling of 352103353056 in words is "three hundred fifty-two billion, one hundred three million, three hundred fifty-three thousand, fifty-six".