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54453442680 = 233257132294409
BaseRepresentation
bin110010101101101011…
…011001100001111000
312012112221202111111100
4302231223121201320
51343010040131210
641003210131400
73635256424440
oct625553314170
9165487674440
1054453442680
112110360449a
12a678420b60
13519a5c5100
1428c7d9b120
15163a8385c0
hexcadad9878

54453442680 has 576 divisors, whose sum is σ = 226614024000. Its totient is φ = 11090386944.

The previous prime is 54453442669. The next prime is 54453442727. The reversal of 54453442680 is 8624435445.

54453442680 is a `hidden beast` number, since 5 + 4 + 45 + 344 + 268 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 143 ways as a sum of consecutive naturals, for example, 12348316 + ... + 12352724.

It is an arithmetic number, because the mean of its divisors is an integer number (393427125).

Almost surely, 254453442680 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 54453442680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113307012000).

54453442680 is an abundant number, since it is smaller than the sum of its proper divisors (172160581320).

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

54453442680 is a wasteful number, since it uses less digits than its factorization.

54453442680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4488 (or 4468 counting only the distinct ones).

The product of its (nonzero) digits is 1843200, while the sum is 45.

The spelling of 54453442680 in words is "fifty-four billion, four hundred fifty-three million, four hundred forty-two thousand, six hundred eighty".