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58137197040 = 243351317121789
BaseRepresentation
bin110110001001001111…
…110011100111110000
312120001200101121111000
4312021033303213300
51423031110301130
642412521522000
74125460010166
oct661117634760
9176050347430
1058137197040
1122723a2868a
12b326043300
13563684b410
142b5730d236
1517a3e41260
hexd893f39f0

58137197040 has 320 divisors, whose sum is σ = 228341635200. Its totient is φ = 13468778496.

The previous prime is 58137197029. The next prime is 58137197047. The reversal of 58137197040 is 4079173185.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58137197047) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 416466 + ... + 538254.

It is an arithmetic number, because the mean of its divisors is an integer number (713567610).

Almost surely, 258137197040 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 58137197040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114170817600).

58137197040 is an abundant number, since it is smaller than the sum of its proper divisors (170204438160).

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

58137197040 is a wasteful number, since it uses less digits than its factorization.

58137197040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121841 (or 121829 counting only the distinct ones).

The product of its (nonzero) digits is 211680, while the sum is 45.

The spelling of 58137197040 in words is "fifty-eight billion, one hundred thirty-seven million, one hundred ninety-seven thousand, forty".