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54007885272000 = 2635311283722881
BaseRepresentation
bin11000100011110101100001…
…10100010001001111000000
321002020002210101101021202010
430101322300310101033000
524034331122112201000
6310510514024052520
714242640513221362
oct1421726064211700
9232202711337663
1054007885272000
1116232685287280
12608310b604140
132419bca06241a
14d49dd1ca8d32
15639d08001d50
hex311eb0d113c0

54007885272000 has 448 divisors, whose sum is σ = 195233934924288. Its totient is φ = 13046538240000.

The previous prime is 54007885271983. The next prime is 54007885272007. The reversal of 54007885272000 is 27258870045.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54007885272007) 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 63 ways as a sum of consecutive naturals, for example, 74350560 + ... + 75073440.

Almost surely, 254007885272000 is an apocalyptic number.

54007885272000 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 54007885272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97616967462144).

54007885272000 is an abundant number, since it is smaller than the sum of its proper divisors (141226049652288).

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

54007885272000 is a wasteful number, since it uses less digits than its factorization.

54007885272000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723205 (or 723185 counting only the distinct ones).

The product of its (nonzero) digits is 1254400, while the sum is 48.

The spelling of 54007885272000 in words is "fifty-four trillion, seven billion, eight hundred eighty-five million, two hundred seventy-two thousand".