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54769923000 = 233253132320353
BaseRepresentation
bin110011000000100010…
…101011001110111000
312020101000021100212200
4303000202223032320
51344132100014000
641054433310200
73646151443542
oct630042531670
9166330240780
1054769923000
1121256214881
12a746405360
13521b043280
142918020692
151658500500
hexcc08ab3b8

54769923000 has 384 divisors, whose sum is σ = 208040676480. Its totient is φ = 12895027200.

The previous prime is 54769922989. The next prime is 54769923007. The reversal of 54769923000 is 32996745.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54769923007) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2680824 + ... + 2701176.

It is an arithmetic number, because the mean of its divisors is an integer number (541772595).

Almost surely, 254769923000 is an apocalyptic number.

54769923000 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 54769923000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104020338240).

54769923000 is an abundant number, since it is smaller than the sum of its proper divisors (153270753480).

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

54769923000 is a wasteful number, since it uses less digits than its factorization.

54769923000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20416 (or 20399 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 54769923000 in words is "fifty-four billion, seven hundred sixty-nine million, nine hundred twenty-three thousand".