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272434575231 = 33713110880983
BaseRepresentation
bin1111110110111001011…
…1011011011101111111
3222001012102201100202000
43331232113123131333
513430421222401411
6325053230233343
725453116452430
oct3755627333577
9861172640660
10272434575231
11a55a2240715
1244971955853
131c8c8c69a90
14d286197487
15714768a956
hex3f6e5db77f

272434575231 has 32 divisors (see below), whose sum is σ = 496746808320. Its totient is φ = 143701752672.

The previous prime is 272434575223. The next prime is 272434575253. The reversal of 272434575231 is 132575434272.

272434575231 is a `hidden beast` number, since 2 + 7 + 2 + 4 + 345 + 75 + 231 = 666.

It is not a de Polignac number, because 272434575231 - 23 = 272434575223 is a prime.

It is a super-2 number, since 2×2724345752312 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272434575221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55438035 + ... + 55442948.

It is an arithmetic number, because the mean of its divisors is an integer number (15523337760).

Almost surely, 2272434575231 is an apocalyptic number.

272434575231 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

272434575231 is a deficient number, since it is larger than the sum of its proper divisors (224312233089).

272434575231 is a wasteful number, since it uses less digits than its factorization.

272434575231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110881012 (or 110881006 counting only the distinct ones).

The product of its digits is 1411200, while the sum is 45.

The spelling of 272434575231 in words is "two hundred seventy-two billion, four hundred thirty-four million, five hundred seventy-five thousand, two hundred thirty-one".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 110880983 332642949 776166881 997928847 1441452779 2328500643 2993786541 4324358337 6985501929 10090169453 12973075011 20956505787 30270508359 38919225033 90811525077 272434575231