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5700119040 = 29355721117
BaseRepresentation
bin1010100111100000…
…01110101000000000
3112201020210001100000
411103300032220000
543133212302130
62341341200000
7261153132600
oct52360165000
915636701300
105700119040
112465628890
121130b60000
136cac10205
143c106ac00
1523564e260
hex153c0ea00

5700119040 has 1440 divisors, whose sum is σ = 27507864384. Its totient is φ = 1114767360.

The previous prime is 5700118987. The next prime is 5700119053. The reversal of 5700119040 is 409110075.

5700119040 is a `hidden beast` number, since 570 + 0 + 1 + 1 + 90 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 5700118995 and 5700119013.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 335301112 + ... + 335301128.

Almost surely, 25700119040 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 5700119040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13753932192).

5700119040 is an abundant number, since it is smaller than the sum of its proper divisors (21807745344).

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

5700119040 is a wasteful number, since it uses less digits than its factorization.

5700119040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

The square root of 5700119040 is about 75499.1327102504. The cubic root of 5700119040 is about 1786.3284228879.

The spelling of 5700119040 in words is "five billion, seven hundred million, one hundred nineteen thousand, forty".