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2425002195456 = 29331725740151
BaseRepresentation
bin100011010010011101011…
…001001111101000000000
322120211100120110100101000
4203102131121033220000
5304212401030223311
65054010341012000
7340125546363141
oct43223531175000
98524316410330
102425002195456
1185548a579735
12331b943b4000
131478a49c72b9
148552940bac8
154312e87e056
hex2349d64fa00

2425002195456 has 320 divisors, whose sum is σ = 7630184136960. Its totient is φ = 757805875200.

The previous prime is 2425002195437. The next prime is 2425002195467. The reversal of 2425002195456 is 6545912005242.

2425002195456 is a `hidden beast` number, since 2 + 4 + 2 + 5 + 0 + 0 + 2 + 195 + 456 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60376981 + ... + 60417131.

It is an arithmetic number, because the mean of its divisors is an integer number (23844325428).

Almost surely, 22425002195456 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 2425002195456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3815092068480).

2425002195456 is an abundant number, since it is smaller than the sum of its proper divisors (5205181941504).

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

2425002195456 is a wasteful number, since it uses less digits than its factorization.

2425002195456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40452 (or 40430 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 2425002195456 in words is "two trillion, four hundred twenty-five billion, two million, one hundred ninety-five thousand, four hundred fifty-six".