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58098954144 = 2537118878861
BaseRepresentation
bin110110000110111101…
…111010111110100000
312112222000102200002110
4312012331322332200
51422441313013034
642405034115320
74124513650650
oct660675727640
9175860380073
1058098954144
1122704388190
12b31527bb40
13562b94b59a
142b521d6360
1517a08d9de9
hexd86f7afa0

58098954144 has 192 divisors, whose sum is σ = 190377879552. Its totient is φ = 15071923200.

The previous prime is 58098954113. The next prime is 58098954211. The reversal of 58098954144 is 44145989085.

It is a super-2 number, since 2×580989541442 (a number of 22 digits) contains 22 as substring.

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, 6552274 + ... + 6561134.

It is an arithmetic number, because the mean of its divisors is an integer number (991551456).

Almost surely, 258098954144 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 58098954144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95188939776).

58098954144 is an abundant number, since it is smaller than the sum of its proper divisors (132278925408).

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

58098954144 is a wasteful number, since it uses less digits than its factorization.

58098954144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9779 (or 9771 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 57.

The spelling of 58098954144 in words is "fifty-eight billion, ninety-eight million, nine hundred fifty-four thousand, one hundred forty-four".