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54004052000000 = 285641329293
BaseRepresentation
bin11000100011101110011000…
…10101011111110100000000
321002012201220020101220010002
430101313030111133310000
524034300244303000000
6310505041411455132
714242443516025304
oct1421671425376400
9232181806356102
1054004052000000
1116230a98520293
12608241b8b74a8
132419738b4893b
14d49b4ab55d04
15639b817128d5
hex311dcc55fd00

54004052000000 has 252 divisors, whose sum is σ = 138031589188668. Its totient is φ = 21074688000000.

The previous prime is 54004051999949. The next prime is 54004052000047. The reversal of 54004052000000 is 25040045.

It is a happy number.

It can be written as a sum of positive squares in 14 ways, for example, as 38868341864704 + 15135710135296 = 6234448^2 + 3890464^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 163835354 + ... + 164164646.

Almost surely, 254004052000000 is an apocalyptic number.

54004052000000 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 54004052000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69015794594334).

54004052000000 is an abundant number, since it is smaller than the sum of its proper divisors (84027537188668).

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

54004052000000 is an frugal number, since it uses more digits than its factorization.

54004052000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 329380 (or 329341 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 20.

Adding to 54004052000000 its reverse (25040045), we get a palindrome (54004077040045).

The spelling of 54004052000000 in words is "fifty-four trillion, four billion, fifty-two million", and thus it is an aban number and an eban number.