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58187005952 = 214172331293
BaseRepresentation
bin110110001100001101…
…110100000000000000
312120012011010011110112
4312030031310000000
51423131333142302
642421501250452
74126633250525
oct661415640000
9176164104415
1058187005952
112274a058879
12b33a863a28
135643c6a84a
142b5db9714c
1517a84ce552
hexd8c374000

58187005952 has 240 divisors, whose sum is σ = 133173476352. Its totient is φ = 25260195840.

The previous prime is 58187005889. The next prime is 58187005957. The reversal of 58187005952 is 25950078185.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 58187005952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58187005957) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 198590318 + ... + 198590610.

Almost surely, 258187005952 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 58187005952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66586738176).

58187005952 is an abundant number, since it is smaller than the sum of its proper divisors (74986470400).

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

58187005952 is a wasteful number, since it uses less digits than its factorization.

58187005952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 392 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 50.

The spelling of 58187005952 in words is "fifty-eight billion, one hundred eighty-seven million, five thousand, nine hundred fifty-two".