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7080575040 = 2633571129367
BaseRepresentation
bin1101001100000100…
…10000000001000000
3200021110100110222000
412212002100001000
5104000111400130
63130333144000
7340314615630
oct64602200100
920243313860
107080575040
113003888910
12145732b000
1388ac07c96
144b25326c0
152b6933260
hex1a6090040

7080575040 has 896 divisors, whose sum is σ = 32303923200. Its totient is φ = 1416683520.

The previous prime is 7080575023. The next prime is 7080575059. The reversal of 7080575040 is 405750807.

7080575040 is a `hidden beast` number, since 7 + 0 + 80 + 575 + 0 + 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 = 7080574986 and 7080575004.

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, 19292937 + ... + 19293303.

Almost surely, 27080575040 is an apocalyptic number.

7080575040 is a gapful number since it is divisible by the number (70) 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 7080575040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16151961600).

7080575040 is an abundant number, since it is smaller than the sum of its proper divisors (25223348160).

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

7080575040 is a wasteful number, since it uses less digits than its factorization.

7080575040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 39200, while the sum is 36.

The square root of 7080575040 is about 84146.1528532351. The cubic root of 7080575040 is about 1920.2429380097.

The spelling of 7080575040 in words is "seven billion, eighty million, five hundred seventy-five thousand, forty".