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84024600957 = 32112937790991
BaseRepresentation
bin100111001000001000…
…0011010100101111101
322000212211002222121200
41032100100122211331
52334040244212312
6102333402450113
76033131216043
oct1162020324575
9260784088550
1084024600957
11326a8773380
121434b803939
137c00b8abbb
1440d1494393
1522bb9a30dc
hex139041a97d

84024600957 has 48 divisors (see below), whose sum is σ = 140670017280. Its totient is φ = 47839075200.

The previous prime is 84024600953. The next prime is 84024600971. The reversal of 84024600957 is 75900642048.

It is a happy number.

It is not a de Polignac number, because 84024600957 - 22 = 84024600953 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84024600953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 289269 + ... + 501722.

It is an arithmetic number, because the mean of its divisors is an integer number (2930625360).

Almost surely, 284024600957 is an apocalyptic number.

84024600957 is a gapful number since it is divisible by the number (87) formed by its first and last digit.

It is an amenable number.

84024600957 is a deficient number, since it is larger than the sum of its proper divisors (56645416323).

84024600957 is a wasteful number, since it uses less digits than its factorization.

84024600957 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791074 (or 791071 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 84024600957 in words is "eighty-four billion, twenty-four million, six hundred thousand, nine hundred fifty-seven".

Divisors: 1 3 9 11 29 33 37 87 99 111 261 319 333 407 957 1073 1221 2871 3219 3663 9657 11803 35409 106227 790991 2372973 7118919 8700901 22938739 26102703 29266667 68816217 78308109 87800001 206448651 252326129 263400003 321933337 756978387 848733343 965800011 2270935161 2546200029 2897400033 7638600087 9336066773 28008200319 84024600957