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270272054000 = 245313293471033
BaseRepresentation
bin1111101110110101111…
…0000100001011110000
3221211121201112220022002
43323231132010023300
513412004121212000
6324054500033132
725345410361004
oct3735536041360
9854551486262
10270272054000
11a469258a493
12444696927a8
131c642c2b510
14d11ccb4704
15706c8c38d5
hex3eed7842f0

270272054000 has 320 divisors, whose sum is σ = 730861971840. Its totient is φ = 95980953600.

The previous prime is 270272053969. The next prime is 270272054021. The reversal of 270272054000 is 450272072.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 261637484 + ... + 261638516.

It is an arithmetic number, because the mean of its divisors is an integer number (2283943662).

Almost surely, 2270272054000 is an apocalyptic number.

270272054000 is a gapful number since it is divisible by the number (20) 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 270272054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365430985920).

270272054000 is an abundant number, since it is smaller than the sum of its proper divisors (460589917840).

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

270272054000 is a wasteful number, since it uses less digits than its factorization.

270272054000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1445 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 7840, while the sum is 29.

The spelling of 270272054000 in words is "two hundred seventy billion, two hundred seventy-two million, fifty-four thousand".