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58628141880 = 233571141435961
BaseRepresentation
bin110110100110100000…
…100111001100111000
312121022220012012012020
4312212200213030320
51430032301020010
642533340314440
74143600661230
oct664640471470
9177286165166
1058628141880
112295606a820
12b442542a20
1356b4482a19
142ba25c8cc0
1517d20bb470
hexda6827338

58628141880 has 1024 divisors, whose sum is σ = 237584793600. Its totient is φ = 11225088000.

The previous prime is 58628141879. The next prime is 58628141903. The reversal of 58628141880 is 8814182685.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 961117050 + ... + 961117110.

It is an arithmetic number, because the mean of its divisors is an integer number (232016400).

Almost surely, 258628141880 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 58628141880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118792396800).

58628141880 is an abundant number, since it is smaller than the sum of its proper divisors (178956651720).

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

58628141880 is a wasteful number, since it uses less digits than its factorization.

58628141880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 232 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 58628141880 in words is "fifty-eight billion, six hundred twenty-eight million, one hundred forty-one thousand, eight hundred eighty".