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58990045739520 = 293573174728027
BaseRepresentation
bin11010110100110101100001…
…01110001011101000000000
321201212101121201021021012010
431122122300232023220000
530212443103202131040
6325243353005332520
715265614216366000
oct1532326056135000
9251771551237163
1058990045739520
11178835a0a52a65
1267487bab67140
1326bb97821b5bc
14107d1c2276000
156c46ee4b5e80
hex35a6b0b8ba00

58990045739520 has 1280 divisors, whose sum is σ = 237822378393600. Its totient is φ = 12419846111232.

The previous prime is 58990045739489. The next prime is 58990045739563. The reversal of 58990045739520 is 2593754009985.

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

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, 2104743747 + ... + 2104771773.

It is an arithmetic number, because the mean of its divisors is an integer number (185798733120).

Almost surely, 258990045739520 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 58990045739520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118911189196800).

58990045739520 is an abundant number, since it is smaller than the sum of its proper divisors (178832332654080).

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

58990045739520 is a wasteful number, since it uses less digits than its factorization.

58990045739520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28138 (or 28108 counting only the distinct ones).

The product of its (nonzero) digits is 122472000, while the sum is 66.

The spelling of 58990045739520 in words is "fifty-eight trillion, nine hundred ninety billion, forty-five million, seven hundred thirty-nine thousand, five hundred twenty".