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19966157222880 = 253511171951114013
BaseRepresentation
bin1001000101000101110111…
…01101010111001111100000
32121200202010211022022002010
410202202323231113033200
510104111142222113010
6110244154225552520
74130335663121121
oct442427355271740
977622124268063
1019966157222880
1163a8666265750
1222a56a97a5740
13b1aa53a5792b
144d051d708048
15249573be1620
hex1228bbb573e0

19966157222880 has 384 divisors, whose sum is σ = 72684789682176. Its totient is φ = 4553183232000.

The previous prime is 19966157222771. The next prime is 19966157222887. The reversal of 19966157222880 is 8822275166991.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19966157222887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 175064754 + ... + 175178766.

It is an arithmetic number, because the mean of its divisors is an integer number (189283306464).

Almost surely, 219966157222880 is an apocalyptic number.

19966157222880 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 19966157222880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342394841088).

19966157222880 is an abundant number, since it is smaller than the sum of its proper divisors (52718632459296).

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

19966157222880 is a wasteful number, since it uses less digits than its factorization.

19966157222880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116010 (or 116002 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 66.

The spelling of 19966157222880 in words is "nineteen trillion, nine hundred sixty-six billion, one hundred fifty-seven million, two hundred twenty-two thousand, eight hundred eighty".