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54794784000 = 2835311192731
BaseRepresentation
bin110011000010000001…
…100000110100000000
312020102202001102202110
4303002001200310000
51344204431042000
641101122215320
73646602656565
oct630201406400
9166382042673
1054794784000
1121269255260
12a7527b4540
135223239118
14291b45286c
15165a7b1850
hexcc2060d00

54794784000 has 576 divisors, whose sum is σ = 209072747520. Its totient is φ = 12579840000.

The previous prime is 54794783983. The next prime is 54794784041. The reversal of 54794784000 is 48749745.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20062635 + ... + 20065365.

It is an arithmetic number, because the mean of its divisors is an integer number (362973520).

Almost surely, 254794784000 is an apocalyptic number.

54794784000 is a gapful number since it is divisible by the number (50) 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 54794784000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104536373760).

54794784000 is an abundant number, since it is smaller than the sum of its proper divisors (154277963520).

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

54794784000 is a wasteful number, since it uses less digits than its factorization.

54794784000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2795 (or 2771 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 48.

The spelling of 54794784000 in words is "fifty-four billion, seven hundred ninety-four million, seven hundred eighty-four thousand".