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54445596699648 = 21037112376173127
BaseRepresentation
bin11000110000100100110100…
…11100110110110000000000
321010202221121020122200011110
430120102122130312300000
524114014040223342043
6311443543431043320
714316364433035530
oct1430223234666000
9233687536580143
1054445596699648
111639127aa41400
126133b08210540
13244c27557c49b
14d632767034c0
156463c551bb33
hex31849a736c00

54445596699648 has 2112 divisors, whose sum is σ = 194417984897024. Its totient is φ = 13243436236800.

The previous prime is 54445596699643. The next prime is 54445596699649. The reversal of 54445596699648 is 84699669554445.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a super-3 number, since 3×544455966996483 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (84).

It is not an unprimeable number, because it can be changed into a prime (54445596699643) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 428705485761 + ... + 428705485887.

Almost surely, 254445596699648 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 54445596699648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97208992448512).

54445596699648 is an abundant number, since it is smaller than the sum of its proper divisors (139972388197376).

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

54445596699648 is a wasteful number, since it uses less digits than its factorization.

54445596699648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350 (or 321 counting only the distinct ones).

The product of its digits is 40310784000, while the sum is 84.

The spelling of 54445596699648 in words is "fifty-four trillion, four hundred forty-five billion, five hundred ninety-six million, six hundred ninety-nine thousand, six hundred forty-eight".