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58618693980 = 223457111924733
BaseRepresentation
bin110110100101111100…
…100100100101011100
312121022020102012010000
4312211330210211130
51430022341201410
642532402014300
74143424451310
oct664574444534
9177266365100
1058618693980
11229507a7440
12b43b347390
1356b2525552
142ba1249b40
1517d1351dc0
hexda5f2495c

58618693980 has 480 divisors, whose sum is σ = 241340520960. Its totient is φ = 11538961920.

The previous prime is 58618693957. The next prime is 58618693981. The reversal of 58618693980 is 8939681685.

58618693980 is a `hidden beast` number, since 5 + 8 + 618 + 6 + 9 + 3 + 9 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58618693981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2357694 + ... + 2382426.

It is an arithmetic number, because the mean of its divisors is an integer number (502792752).

Almost surely, 258618693980 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 58618693980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120670260480).

58618693980 is an abundant number, since it is smaller than the sum of its proper divisors (182721826980).

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

58618693980 is a wasteful number, since it uses less digits than its factorization.

58618693980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24791 (or 24780 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 58618693980 in words is "fifty-eight billion, six hundred eighteen million, six hundred ninety-three thousand, nine hundred eighty".