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20198247387552 = 25331323476127271
BaseRepresentation
bin1001001011110110001010…
…10111000101000110100000
32122111221012120220020212000
410211323011113011012200
510121412002312400202
6110542540255404000
74153163254015413
oct445730527050640
978457176806760
1020198247387552
1164880350a05a3
122322680223600
13b368c0495110
144db85967db7a
1525060951291c
hex125ec55c51a0

20198247387552 has 768 divisors, whose sum is σ = 68721041571840. Its totient is φ = 5722563686400.

The previous prime is 20198247387499. The next prime is 20198247387653. The reversal of 20198247387552 is 25578374289102.

20198247387552 is a `hidden beast` number, since 2 + 0 + 1 + 9 + 8 + 2 + 4 + 73 + 8 + 7 + 552 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20198247387552.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 740635677 + ... + 740662947.

It is an arithmetic number, because the mean of its divisors is an integer number (89480522880).

Almost surely, 220198247387552 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 20198247387552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34360520785920).

20198247387552 is an abundant number, since it is smaller than the sum of its proper divisors (48522794184288).

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

20198247387552 is a wasteful number, since it uses less digits than its factorization.

20198247387552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27434 (or 27420 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 20198247387552 in words is "twenty trillion, one hundred ninety-eight billion, two hundred forty-seven million, three hundred eighty-seven thousand, five hundred fifty-two".