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21539342154240 = 293351741676673
BaseRepresentation
bin1001110010111000001001…
…10101100111101000000000
32211021010210210022011011000
410321130010311213220000
510310400033042413430
6113451012010452000
74352110656316401
oct471340465475000
984233723264130
1021539342154240
116954869131189
1224ba576134000
13c031c73ac741
1454671c9719a8
1527544b0bee60
hex139704d67a00

21539342154240 has 1280 divisors, whose sum is σ = 84237173475840. Its totient is φ = 5194603560960.

The previous prime is 21539342154227. The next prime is 21539342154241. The reversal of 21539342154240 is 4245124393512.

21539342154240 is a `hidden beast` number, since 2 + 1 + 5 + 3 + 9 + 3 + 4 + 215 + 424 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (21539342154241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3227831544 + ... + 3227838216.

It is an arithmetic number, because the mean of its divisors is an integer number (65810291778).

Almost surely, 221539342154240 is an apocalyptic number.

21539342154240 is a gapful number since it is divisible by the number (20) 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 21539342154240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42118586737920).

21539342154240 is an abundant number, since it is smaller than the sum of its proper divisors (62697831321600).

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

21539342154240 is a wasteful number, since it uses less digits than its factorization.

21539342154240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6830 (or 6808 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 21539342154240 in words is "twenty-one trillion, five hundred thirty-nine billion, three hundred forty-two million, one hundred fifty-four thousand, two hundred forty".