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5402645136 = 243373192101
BaseRepresentation
bin1010000100000010…
…11101001010010000
3111221112000210212000
411002001131022100
542031034121021
62252033234000
7250611504000
oct50201351220
914845023760
105402645136
11232271a289
121069402900
136813b8155
14393754000
1521948db26
hex14205d290

5402645136 has 480 divisors, whose sum is σ = 19275552000. Its totient is φ = 1447891200.

The previous prime is 5402645119. The next prime is 5402645137. The reversal of 5402645136 is 6315462045.

5402645136 is a `hidden beast` number, since 5 + 4 + 0 + 2 + 645 + 1 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 5402645136.

It is not an unprimeable number, because it can be changed into a prime (5402645137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53491486 + ... + 53491586.

It is an arithmetic number, because the mean of its divisors is an integer number (40157400).

Almost surely, 25402645136 is an apocalyptic number.

5402645136 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 5402645136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9637776000).

5402645136 is an abundant number, since it is smaller than the sum of its proper divisors (13872906864).

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

5402645136 is a wasteful number, since it uses less digits than its factorization.

5402645136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The square root of 5402645136 is about 73502.6879508498. The cubic root of 5402645136 is about 1754.6970563370.

The spelling of 5402645136 in words is "five billion, four hundred two million, six hundred forty-five thousand, one hundred thirty-six".