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272231404920 = 2332519231730431
BaseRepresentation
bin1111110110001001000…
…0011001010101111000
3222000200021102020110200
43331202100121111320
513430012214424140
6325021131442200
725445101522236
oct3754220312570
9860607366420
10272231404920
11a54a8592872
12449158b6360
131c895b42767
14d2671cb956
157134907030
hex3f62419578

272231404920 has 192 divisors, whose sum is σ = 971810611200. Its totient is φ = 65784026880.

The previous prime is 272231404877. The next prime is 272231404933. The reversal of 272231404920 is 29404132272.

It is a happy number.

272231404920 is a `hidden beast` number, since 2 + 7 + 2 + 23 + 140 + 492 + 0 = 666.

272231404920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 47 ways as a sum of consecutive naturals, for example, 707896 + ... + 1022535.

It is an arithmetic number, because the mean of its divisors is an integer number (5061513600).

Almost surely, 2272231404920 is an apocalyptic number.

272231404920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272231404920 is an abundant number, since it is smaller than the sum of its proper divisors (699579206280).

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

272231404920 is a wasteful number, since it uses less digits than its factorization.

272231404920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1730490 (or 1730483 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 272231404920 in words is "two hundred seventy-two billion, two hundred thirty-one million, four hundred four thousand, nine hundred twenty".