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58849090944 = 27372171923421
BaseRepresentation
bin110110110011101011…
…011101110110000000
312121220021221120022220
4312303223131312000
51431010331402234
643011312131040
74152223006500
oct666353356600
9177807846286
1058849090944
1122a59861056
12b4a4536a80
13571b193407
142bc3aa1a00
1517e66b2a49
hexdb3addd80

58849090944 has 768 divisors, whose sum is σ = 211983091200. Its totient is φ = 14306181120.

The previous prime is 58849090943. The next prime is 58849090969. The reversal of 58849090944 is 44909094885.

It is a super-2 number, since 2×588490909442 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58849090943) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 139783854 + ... + 139784274.

It is an arithmetic number, because the mean of its divisors is an integer number (276019650).

Almost surely, 258849090944 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 58849090944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105991545600).

58849090944 is an abundant number, since it is smaller than the sum of its proper divisors (153134000256).

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

58849090944 is a wasteful number, since it uses less digits than its factorization.

58849090944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 511 (or 492 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 58849090944 in words is "fifty-eight billion, eight hundred forty-nine million, ninety thousand, nine hundred forty-four".