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54470637312 = 28371317192127
BaseRepresentation
bin110010101110101100…
…111111011100000000
312012121011010002002120
4302232230333130000
51343023440343222
641005022444240
73635555530530
oct625654773400
9165534102076
1054470637312
1121112289033
12a682133680
1351a1035650
1428ca3954c0
15163c0d315c
hexcaeb3f700

54470637312 has 864 divisors, whose sum is σ = 200958492672. Its totient is φ = 12708347904.

The previous prime is 54470637283. The next prime is 54470637313. The reversal of 54470637312 is 21373607445.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54470637313) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 428902593 + ... + 428902719.

It is an arithmetic number, because the mean of its divisors is an integer number (232590848).

Almost surely, 254470637312 is an apocalyptic number.

54470637312 is a gapful number since it is divisible by the number (52) 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 54470637312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100479246336).

54470637312 is an abundant number, since it is smaller than the sum of its proper divisors (146487855360).

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

54470637312 is a wasteful number, since it uses less digits than its factorization.

54470637312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 221 (or 188 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 42.

The spelling of 54470637312 in words is "fifty-four billion, four hundred seventy million, six hundred thirty-seven thousand, three hundred twelve".