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85470059520 = 21037517449
BaseRepresentation
bin100111110011001101…
…0011001110000000000
322011121112222220000000
41033212122121300000
52400020313401040
6103133040000000
76114012342666
oct1174632316000
9264545886000
1085470059520
113327a69082a
1214693900000
1380a1494921
1441cb43ac36
152353827130
hex13e6699c00

85470059520 has 704 divisors, whose sum is σ = 326308176000. Its totient is φ = 21403533312.

The previous prime is 85470059501. The next prime is 85470059539. The reversal of 85470059520 is 2595007458.

85470059520 is a `hidden beast` number, since 8 + 5 + 4 + 70 + 0 + 59 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (85470059501) and next prime (85470059539).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190356256 + ... + 190356704.

Almost surely, 285470059520 is an apocalyptic number.

85470059520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85470059520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163154088000).

85470059520 is an abundant number, since it is smaller than the sum of its proper divisors (240838116480).

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

85470059520 is an equidigital number, since it uses as much as digits as its factorization.

85470059520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 476 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 85470059520 in words is "eighty-five billion, four hundred seventy million, fifty-nine thousand, five hundred twenty".