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54266421504000 = 211353591197617
BaseRepresentation
bin11000101011010111000101…
…10001101110100000000000
321010010211010012220122210010
430111223202301232200000
524103100112401112000
6311225352212504520
714300422341021036
oct1425534261564000
9233124105818703
1054266421504000
1116322295241a12
12610524291b140
1324383bc793c64
14d5871a28c556
156418da439d50
hex315ae2c6e800

54266421504000 has 384 divisors, whose sum is σ = 183614959382400. Its totient is φ = 14225761894400.

The previous prime is 54266421503977. The next prime is 54266421504023. The reversal of 54266421504000 is 40512466245.

It is an interprime number because it is at equal distance from previous prime (54266421503977) and next prime (54266421504023).

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×542664215040003 (a number of 42 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 54266421504000.

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 31 ways as a sum of consecutive naturals, for example, 44713192 + ... + 45910808.

It is an arithmetic number, because the mean of its divisors is an integer number (478163956725).

Almost surely, 254266421504000 is an apocalyptic number.

54266421504000 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 54266421504000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91807479691200).

54266421504000 is an abundant number, since it is smaller than the sum of its proper divisors (129348537878400).

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

54266421504000 is a wasteful number, since it uses less digits than its factorization.

54266421504000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197716 (or 1197686 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 39.

The spelling of 54266421504000 in words is "fifty-four trillion, two hundred sixty-six billion, four hundred twenty-one million, five hundred four thousand".