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20034807247392 = 253717611012811013
BaseRepresentation
bin1001000111000101101111…
…00100011011001000100000
32121221022100011102212201120
410203202313210123020200
510111222241123404032
6110335510254132240
74135316125524150
oct443426744331040
977838304385646
1020034807247392
1164247944261a3
1222b6a684b1080
13b243745ba102
144d3992d10760
1524b240a3e62c
hex1238b791b220

20034807247392 has 768 divisors, whose sum is σ = 65620865995776. Its totient is φ = 5222891520000.

The previous prime is 20034807247363. The next prime is 20034807247447. The reversal of 20034807247392 is 29374270843002.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is an unprimeable number.

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, 19777696678 + ... + 19777697690.

It is an arithmetic number, because the mean of its divisors is an integer number (85443835932).

Almost surely, 220034807247392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20034807247392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32810432997888).

20034807247392 is an abundant number, since it is smaller than the sum of its proper divisors (45586058748384).

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

20034807247392 is a wasteful number, since it uses less digits than its factorization.

20034807247392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1493 (or 1485 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 20034807247392 in words is "twenty trillion, thirty-four billion, eight hundred seven million, two hundred forty-seven thousand, three hundred ninety-two".