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58141563480 = 233457211132197
BaseRepresentation
bin110110001001100000…
…011101101001011000
312120001222121110010000
4312021200131221120
51423033220012410
642413155253000
74125542064300
oct661140355130
9176058543100
1058141563480
1122726440210
12b3275aa160
135637719a00
142b57b28600
1517a4504dc0
hexd8981da58

58141563480 has 1440 divisors, whose sum is σ = 269898369840. Its totient is φ = 11095418880.

The previous prime is 58141563479. The next prime is 58141563481. The reversal of 58141563480 is 8436514185.

58141563480 is a `hidden beast` number, since 5 + 8 + 1 + 4 + 1 + 5 + 634 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (58141563479) and next prime (58141563481).

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 (58141563481) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 295134742 + ... + 295134938.

Almost surely, 258141563480 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 58141563480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134949184920).

58141563480 is an abundant number, since it is smaller than the sum of its proper divisors (211756806360).

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

58141563480 is a wasteful number, since it uses less digits than its factorization.

58141563480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 45.

The spelling of 58141563480 in words is "fifty-eight billion, one hundred forty-one million, five hundred sixty-three thousand, four hundred eighty".