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5025646080 = 293357131747
BaseRepresentation
bin1001010111000110…
…10100011000000000
3110222020122021101000
410223203110120000
540243031133310
62150405012000
7235353200250
oct45343243000
913866567330
105025646080
112149934314
12b830b4000
1362126aba0
14359659960
151e63204c0
hex12b8d4600

5025646080 has 1280 divisors, whose sum is σ = 23758479360. Its totient is φ = 976748544.

The previous prime is 5025646079. The next prime is 5025646103. The reversal of 5025646080 is 806465205.

5025646080 is a `hidden beast` number, since 5 + 0 + 2 + 5 + 646 + 0 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 106928617 + ... + 106928663.

It is an arithmetic number, because the mean of its divisors is an integer number (18561312).

Almost surely, 25025646080 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 5025646080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11879239680).

5025646080 is an abundant number, since it is smaller than the sum of its proper divisors (18732833280).

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

5025646080 is a wasteful number, since it uses less digits than its factorization.

5025646080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5025646080 is about 70891.7913442734. The cubic root of 5025646080 is about 1712.8945742547.

The spelling of 5025646080 in words is "five billion, twenty-five million, six hundred forty-six thousand, eighty".