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5674699296 = 25367193159
BaseRepresentation
bin1010100100011110…
…10000101000100000
3112122110221121000000
411102033100220200
543110210334141
62335032300000
7260424101550
oct52217205040
915573847000
105674699296
112452246632
121124541600
136c587cc46
143bb931160
152332cc5b6
hex1523d0a20

5674699296 has 672 divisors, whose sum is σ = 21153484800. Its totient is φ = 1461265920.

The previous prime is 5674699273. The next prime is 5674699307. The reversal of 5674699296 is 6929964765.

5674699296 is a `hidden beast` number, since 567 + 4 + 69 + 9 + 2 + 9 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (44089920) is a multiple of the sum of its prime factors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 96181315 + ... + 96181373.

It is an arithmetic number, because the mean of its divisors is an integer number (31478400).

Almost surely, 25674699296 is an apocalyptic number.

5674699296 is a gapful number since it is divisible by the number (56) 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 5674699296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10576742400).

5674699296 is an abundant number, since it is smaller than the sum of its proper divisors (15478785504).

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

5674699296 is a wasteful number, since it uses less digits than its factorization.

5674699296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 121 counting only the distinct ones).

The product of its digits is 44089920, while the sum is 63.

The square root of 5674699296 is about 75330.5999976105. The cubic root of 5674699296 is about 1783.6690820451.

The spelling of 5674699296 in words is "five billion, six hundred seventy-four million, six hundred ninety-nine thousand, two hundred ninety-six".