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54212354337006 = 23243260832685343
BaseRepresentation
bin11000101001110010011000…
…00111110110100011101110
321002221122120011222222220200
430110321030013312203232
524101203400202241011
6311144451201454330
714263466451464415
oct1424711407664356
9232848504888820
1054212354337006
111630136a78a128
1260b68739413a6
132433284216658
14d55c6b72247c
156402c39a3856
hex314e4c1f68ee

54212354337006 has 48 divisors (see below), whose sum is σ = 120196384129536. Its totient is φ = 17649850691088.

The previous prime is 54212354336981. The next prime is 54212354337007. The reversal of 54212354337006 is 60073345321245.

It is a happy number.

54212354337006 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 235 + 43 + 370 + 0 + 6 = 666.

It is a super-2 number, since 2×542123543370062 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54212354337007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18845571 + ... + 21530913.

It is an arithmetic number, because the mean of its divisors is an integer number (2504091336032).

Almost surely, 254212354337006 is an apocalyptic number.

54212354337006 is an abundant number, since it is smaller than the sum of its proper divisors (65984029792530).

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

54212354337006 is a wasteful number, since it uses less digits than its factorization.

54212354337006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2711477 (or 2711474 counting only the distinct ones).

The product of its (nonzero) digits is 1814400, while the sum is 45.

The spelling of 54212354337006 in words is "fifty-four trillion, two hundred twelve billion, three hundred fifty-four million, three hundred thirty-seven thousand, six".

Divisors: 1 2 3 6 9 18 43 86 129 258 387 774 26083 52166 78249 156498 234747 469494 1121569 2243138 2685343 3364707 5370686 6729414 8056029 10094121 16112058 20188242 24168087 48336174 115469749 230939498 346409247 692818494 1039227741 2078455482 70041801469 140083602938 210125404407 420250808814 630376213221 1260752426442 3011797463167 6023594926334 9035392389501 18070784779002 27106177168503 54212354337006