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54214216506 = 2323011900917
BaseRepresentation
bin110010011111011010…
…110100101100111010
312011221021121112212200
4302133122310230322
51342012314412011
640523342451030
73626323144152
oct623732645472
9164837545780
1054214216506
1120aa056a30a
12a610293a76
13515cb85568
1428a42c7762
151624831856
hexc9f6b4b3a

54214216506 has 12 divisors (see below), whose sum is σ = 117464135802. Its totient is φ = 18071405496.

The previous prime is 54214216501. The next prime is 54214216531. The reversal of 54214216506 is 60561241245.

54214216506 is a `hidden beast` number, since 5 + 4 + 2 + 142 + 1 + 6 + 506 = 666.

It can be written as a sum of positive squares in only one way, i.e., 53367930225 + 846286281 = 231015^2 + 29091^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (54214216501) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1505950441 + ... + 1505950476.

Almost surely, 254214216506 is an apocalyptic number.

54214216506 is an abundant number, since it is smaller than the sum of its proper divisors (63249919296).

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

54214216506 is a wasteful number, since it uses less digits than its factorization.

54214216506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3011900925 (or 3011900922 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 54214216506 in words is "fifty-four billion, two hundred fourteen million, two hundred sixteen thousand, five hundred six".

Divisors: 1 2 3 6 9 18 3011900917 6023801834 9035702751 18071405502 27107108253 54214216506