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356425353648 = 243471319115823
BaseRepresentation
bin1010010111111001001…
…10110100100110110000
31021001222220011222120000
411023330212310212300
521314424342304043
6431423424150000
734515360342510
oct5137446644660
91231886158500
10356425353648
11128182902681
12590b2168300
13277c2b14b30
1413372d65840
1594111ac2d3
hex52fc9b49b0

356425353648 has 400 divisors, whose sum is σ = 1276387639296. Its totient is φ = 93504222720.

The previous prime is 356425353611. The next prime is 356425353649. The reversal of 356425353648 is 846353524653.

356425353648 is a `hidden beast` number, since 3 + 5 + 6 + 42 + 535 + 3 + 64 + 8 = 666.

356425353648 is digitally balanced in base 4, 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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 356425353594 and 356425353603.

It is not an unprimeable number, because it can be changed into a prime (356425353649) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 22517865 + ... + 22533687.

Almost surely, 2356425353648 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 356425353648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638193819648).

356425353648 is an abundant number, since it is smaller than the sum of its proper divisors (919962285648).

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

356425353648 is a wasteful number, since it uses less digits than its factorization.

356425353648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16054 (or 16039 counting only the distinct ones).

The product of its digits is 31104000, while the sum is 54.

The spelling of 356425353648 in words is "three hundred fifty-six billion, four hundred twenty-five million, three hundred fifty-three thousand, six hundred forty-eight".