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2358480625056 = 253223899741243
BaseRepresentation
bin100010010100100000011…
…001100101110110100000
322100110122120101102212100
4202110200121211312200
5302120132020000211
65003245424530400
7332252230353513
oct42244031456640
98313576342770
102358480625056
1182a253911276
1232110a480a00
1314153310611a
148221877ad7a
1541539819156
hex22520665da0

2358480625056 has 288 divisors, whose sum is σ = 7150304004480. Its totient is φ = 735847022592.

The previous prime is 2358480625019. The next prime is 2358480625063. The reversal of 2358480625056 is 6505260848532.

2358480625056 is a `hidden beast` number, since 2 + 3 + 5 + 8 + 4 + 8 + 0 + 625 + 0 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 2358480624993 and 2358480625011.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57164371 + ... + 57205613.

It is an arithmetic number, because the mean of its divisors is an integer number (24827444460).

Almost surely, 22358480625056 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 2358480625056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3575152002240).

2358480625056 is an abundant number, since it is smaller than the sum of its proper divisors (4791823379424).

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

2358480625056 is a wasteful number, since it uses less digits than its factorization.

2358480625056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41468 (or 41457 counting only the distinct ones).

The product of its (nonzero) digits is 13824000, while the sum is 54.

The spelling of 2358480625056 in words is "two trillion, three hundred fifty-eight billion, four hundred eighty million, six hundred twenty-five thousand, fifty-six".