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273134431372 = 2211192911266063
BaseRepresentation
bin1111111001100000010…
…1001010110010001100
3222010000012121201212211
43332120011022302030
513433334403300442
6325250510440204
725506345234355
oct3763005126214
9863005551784
10273134431372
11a59212a1a20
1244b28203064
131c9aac5883a
14d3110d4d2c
157188d30617
hex3f9814ac8c

273134431372 has 48 divisors (see below), whose sum is σ = 567809625600. Its totient is φ = 113561904960.

The previous prime is 273134431333. The next prime is 273134431373.

It is a happy number.

273134431372 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (273134431373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5608788 + ... + 5657275.

It is an arithmetic number, because the mean of its divisors is an integer number (11829367200).

Almost surely, 2273134431372 is an apocalyptic number.

273134431372 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

273134431372 is an abundant number, since it is smaller than the sum of its proper divisors (294675194228).

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

273134431372 is a wasteful number, since it uses less digits than its factorization.

273134431372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11266126 (or 11266124 counting only the distinct ones).

The product of its digits is 254016, while the sum is 40.

The spelling of 273134431372 in words is "two hundred seventy-three billion, one hundred thirty-four million, four hundred thirty-one thousand, three hundred seventy-two".

Divisors: 1 2 4 11 19 22 29 38 44 58 76 116 209 319 418 551 638 836 1102 1276 2204 6061 12122 24244 11266063 22532126 45064252 123926693 214055197 247853386 326715827 428110394 495706772 653431654 856220788 1306863308 2354607167 3593874097 4709214334 6207600713 7187748194 9418428668 12415201426 14375496388 24830402852 68283607843 136567215686 273134431372