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54855000312 = 23373759373401
BaseRepresentation
bin110011000101100111…
…001110000011111000
312020120221100202000020
4303011213032003320
51344320340002222
641111113010440
73651233544420
oct630547160370
9166527322006
1054855000312
112129a243702
12a76a9b3a20
135232860688
142925449480
151660c0865c
hexcc59ce0f8

54855000312 has 256 divisors, whose sum is σ = 164540851200. Its totient is φ = 14913331200.

The previous prime is 54855000311. The next prime is 54855000313. The reversal of 54855000312 is 21300055845.

54855000312 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (54855000311) and next prime (54855000313).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54855000311) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 136795312 + ... + 136795712.

It is an arithmetic number, because the mean of its divisors is an integer number (642737700).

Almost surely, 254855000312 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 54855000312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82270425600).

54855000312 is an abundant number, since it is smaller than the sum of its proper divisors (109685850888).

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

54855000312 is a wasteful number, since it uses less digits than its factorization.

54855000312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The spelling of 54855000312 in words is "fifty-four billion, eight hundred fifty-five million, three hundred twelve", and thus it is an aban number.