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54470952900 = 22375272131723
BaseRepresentation
bin110010101110101110…
…001100011111000100
312012121011201010000000
4302232232030133010
51343024030443100
641005033321300
73635561313600
oct625656143704
9165534633000
1054470952900
1121112484151
12a682266230
1351a11161a0
1428ca438500
15163c146900
hexcaeb8c7c4

54470952900 has 1728 divisors, whose sum is σ = 245369295360. Its totient is φ = 10346434560.

The previous prime is 54470952889. The next prime is 54470952919. The reversal of 54470952900 is 925907445.

54470952900 is a `hidden beast` number, since 5 + 4 + 470 + 95 + 2 + 90 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

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 575 ways as a sum of consecutive naturals, for example, 2368302289 + ... + 2368302311.

It is an arithmetic number, because the mean of its divisors is an integer number (141996120).

Almost surely, 254470952900 is an apocalyptic number.

54470952900 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 54470952900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122684647680).

54470952900 is an abundant number, since it is smaller than the sum of its proper divisors (190898342460).

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

54470952900 is a wasteful number, since it uses less digits than its factorization.

54470952900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 54470952900 in words is "fifty-four billion, four hundred seventy million, nine hundred fifty-two thousand, nine hundred".