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1561381239600 = 243652713292029
BaseRepresentation
bin10110101110001001100…
…100101111101100110000
312112021012100021012000000
4112232021210233230300
5201040202044131400
63153142202430000
7220543324361610
oct26561144575460
95467170235000
101561381239600
115521a6006186
12212733502300
13b4312084120
14557dd74aa40
152a935ed8600
hex16b8992fb30

1561381239600 has 1680 divisors, whose sum is σ = 7164384158400. Its totient is φ = 317917716480.

The previous prime is 1561381239599. The next prime is 1561381239623. The reversal of 1561381239600 is 69321831651.

1561381239600 is a `hidden beast` number, since 1 + 5 + 6 + 1 + 3 + 8 + 1 + 2 + 39 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (1680).

It is a super-2 number, since 2×15613812396002 (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) 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 (45).

It is an unprimeable number.

It is a polite number, since it can be written in 335 ways as a sum of consecutive naturals, for example, 769531386 + ... + 769533414.

It is an arithmetic number, because the mean of its divisors is an integer number (4264514380).

Almost surely, 21561381239600 is an apocalyptic number.

1561381239600 is a gapful number since it is divisible by the number (10) 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 1561381239600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3582192079200).

1561381239600 is an abundant number, since it is smaller than the sum of its proper divisors (5603002918800).

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

1561381239600 is a wasteful number, since it uses less digits than its factorization.

1561381239600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2088 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1561381239600 in words is "one trillion, five hundred sixty-one billion, three hundred eighty-one million, two hundred thirty-nine thousand, six hundred".