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58375170048 = 2113135031453
BaseRepresentation
bin110110010111011011…
…100110100000000000
312120200021011220002010
4312113123212200000
51424023020420143
642452302252520
74134406521066
oct662733464000
9176607156063
1058375170048
1122836297298
12b391887140
135673c3c750
142b7ab78036
1517b9c9ba33
hexd976e6800

58375170048 has 192 divisors, whose sum is σ = 168049365120. Its totient is φ = 17913544704.

The previous prime is 58375170041. The next prime is 58375170083. The reversal of 58375170048 is 84007157385.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 58375169979 and 58375170006.

It is not an unprimeable number, because it can be changed into a prime (58375170041) 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, 40174890 + ... + 40176342.

It is an arithmetic number, because the mean of its divisors is an integer number (875257110).

Almost surely, 258375170048 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 58375170048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84024682560).

58375170048 is an abundant number, since it is smaller than the sum of its proper divisors (109674195072).

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

58375170048 is a wasteful number, since it uses less digits than its factorization.

58375170048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1994 (or 1974 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 48.

The spelling of 58375170048 in words is "fifty-eight billion, three hundred seventy-five million, one hundred seventy thousand, forty-eight".