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6006232464255 = 32517253149233251
BaseRepresentation
bin101011101100110111101…
…0110100011101101111111
3210021012010200000112120200
41113121233112203231333
51241401231002324010
620435120342214543
71156636016404662
oct127315726435577
923235120015520
106006232464255
111a0625770a061
1281006b124453
1334750163b67a
1416a9bb8316d9
15a63811ddcc0
hex5766f5a3b7f

6006232464255 has 288 divisors, whose sum is σ = 11437586596800. Its totient is φ = 2913890304000.

The previous prime is 6006232464241. The next prime is 6006232464259. The reversal of 6006232464255 is 5524642326006.

6006232464255 is a `hidden beast` number, since 600 + 6 + 2 + 32 + 4 + 6 + 4 + 2 + 5 + 5 = 666.

It is not a de Polignac number, because 6006232464255 - 215 = 6006232431487 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 6006232464255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6006232464259) 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 287 ways as a sum of consecutive naturals, for example, 23929212880 + ... + 23929213130.

It is an arithmetic number, because the mean of its divisors is an integer number (39713842350).

Almost surely, 26006232464255 is an apocalyptic number.

6006232464255 is a deficient number, since it is larger than the sum of its proper divisors (5431354132545).

6006232464255 is a wasteful number, since it uses less digits than its factorization.

6006232464255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 731 (or 711 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 45.

The spelling of 6006232464255 in words is "six trillion, six billion, two hundred thirty-two million, four hundred sixty-four thousand, two hundred fifty-five".