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43427055720456 = 2334312161840687
BaseRepresentation
bin10011101111111001001100…
…01110101101100000001000
312200202120211011212122220000
421313330212032231200020
521143002102231023311
6232210040342003000
712101333632036242
oct1167744616554010
9180676734778800
1043427055720456
11129233468a43a1
124a54555116460
131b301ccb25635
14aa1c4895d092
15504986249056
hex277f263ad808

43427055720456 has 80 divisors (see below), whose sum is σ = 125559707159040. Its totient is φ = 14008727645280.

The previous prime is 43427055720421. The next prime is 43427055720473. The reversal of 43427055720456 is 65402755072434.

43427055720456 is a `hidden beast` number, since 4 + 3 + 4 + 2 + 70 + 55 + 72 + 0 + 456 = 666.

43427055720456 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 (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1080900256 + ... + 1080940431.

It is an arithmetic number, because the mean of its divisors is an integer number (1569496339488).

Almost surely, 243427055720456 is an apocalyptic number.

It is an amenable number.

43427055720456 is an abundant number, since it is smaller than the sum of its proper divisors (82132651438584).

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

43427055720456 is a wasteful number, since it uses less digits than its factorization.

43427055720456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161840736 (or 2161840723 counting only the distinct ones).

The product of its (nonzero) digits is 28224000, while the sum is 54.

The spelling of 43427055720456 in words is "forty-three trillion, four hundred twenty-seven billion, fifty-five million, seven hundred twenty thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 216 248 279 324 372 558 648 744 837 1116 1674 2232 2511 3348 5022 6696 10044 20088 2161840687 4323681374 6485522061 8647362748 12971044122 17294725496 19456566183 25942088244 38913132366 51884176488 58369698549 67017061297 77826264732 116739397098 134034122594 155652529464 175109095647 201051183891 233478794196 268068245188 350218191294 402102367782 466957588392 536136490376 603153551673 700436382588 804204735564 1206307103346 1400872765176 1608409471128 1809460655019 2412614206692 3618921310038 4825228413384 5428381965057 7237842620076 10856763930114 14475685240152 21713527860228 43427055720456