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5642372736 = 2733721113233
BaseRepresentation
bin1010100000100111…
…11100011010000000
3112120020010020022000
411100103330122000
543023421411421
62331515344000
7256552243200
oct52023743200
915506106260
105642372736
112435a77170
121115752000
136bbc71cc0
143b7518400
15230544226
hex1504fc680

5642372736 has 768 divisors, whose sum is σ = 22855996800. Its totient is φ = 1347010560.

The previous prime is 5642372731. The next prime is 5642372737. The reversal of 5642372736 is 6372732465.

5642372736 is a `hidden beast` number, since 564 + 2 + 37 + 27 + 36 = 666.

It is a super-2 number, since 2×56423727362 = 63672740183912251392, which contains 22 as substring.

Its product of digits (1270080) is a multiple of the sum of its prime factors (294).

It is a junction number, because it is equal to n+sod(n) for n = 5642372691 and 5642372700.

It is not an unprimeable number, because it can be changed into a prime (5642372731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24216076 + ... + 24216308.

Almost surely, 25642372736 is an apocalyptic number.

5642372736 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 5642372736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11427998400).

5642372736 is an abundant number, since it is smaller than the sum of its proper divisors (17213624064).

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

5642372736 is a wasteful number, since it uses less digits than its factorization.

5642372736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 294 (or 269 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 45.

The square root of 5642372736 is about 75115.7289520644. The cubic root of 5642372736 is about 1780.2756733327.

The spelling of 5642372736 in words is "five billion, six hundred forty-two million, three hundred seventy-two thousand, seven hundred thirty-six".