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54362971936 = 2571331592173
BaseRepresentation
bin110010101000010010…
…010001111100100000
312012022122112002222001
4302220102101330200
51342313410100221
640550215053344
73633110431360
oct625022217440
9165278462861
1054362971936
1121067531489
12a652071254
135184939b20
1428b9d6a9a0
151632917391
hexca8491f20

54362971936 has 288 divisors, whose sum is σ = 139118128128. Its totient is φ = 20341463040.

The previous prime is 54362971933. The next prime is 54362971939. The reversal of 54362971936 is 63917926345.

It is an interprime number because it is at equal distance from previous prime (54362971933) and next prime (54362971939).

It is not an unprimeable number, because it can be changed into a prime (54362971933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 314236746 + ... + 314236918.

It is an arithmetic number, because the mean of its divisors is an integer number (483049056).

Almost surely, 254362971936 is an apocalyptic number.

54362971936 is a gapful number since it is divisible by the number (56) 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 54362971936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69559064064).

54362971936 is an abundant number, since it is smaller than the sum of its proper divisors (84755156192).

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

54362971936 is a wasteful number, since it uses less digits than its factorization.

54362971936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 352 (or 285 counting only the distinct ones).

The product of its digits is 7348320, while the sum is 55.

The spelling of 54362971936 in words is "fifty-four billion, three hundred sixty-two million, nine hundred seventy-one thousand, nine hundred thirty-six".