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520058327040 = 21233572941113
BaseRepresentation
bin1111001000101011110…
…01000101000000000000
31211201100202111022011000
413210111321011000000
532010034412431130
61034524514452000
752400346562050
oct7442571050000
91751322438130
10520058327040
1119061240548a
128495a594000
133a06c938045
141b25716d560
15d7dba71260
hex7915e45000

520058327040 has 1664 divisors, whose sum is σ = 2258986060800. Its totient is φ = 110981283840.

The previous prime is 520058327023. The next prime is 520058327059. The reversal of 520058327040 is 40723850025.

520058327040 is a `hidden beast` number, since 5 + 2 + 0 + 0 + 583 + 2 + 70 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 520058326986 and 520058327004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4602286024 + ... + 4602286136.

Almost surely, 2520058327040 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 520058327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129493030400).

520058327040 is an abundant number, since it is smaller than the sum of its proper divisors (1738927733760).

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

520058327040 is a wasteful number, since it uses less digits than its factorization.

520058327040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 228 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The spelling of 520058327040 in words is "five hundred twenty billion, fifty-eight million, three hundred twenty-seven thousand, forty".