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4923104967 = 331137448003
BaseRepresentation
bin1001001010111000…
…01001111011000111
3110201002200122102000
410211130021323013
540040303324332
62132303120343
7232666462464
oct44534117307
913632618360
104923104967
1120a6a676a0
12b548a30b3
13605c47881
14349ba666b
151dc317b7c
hex125709ec7

4923104967 has 32 divisors (see below), whose sum is σ = 8171592960. Its totient is φ = 2903052960.

The previous prime is 4923104917. The next prime is 4923104983. The reversal of 4923104967 is 7694013294.

It is a happy number.

It is not a de Polignac number, because 4923104967 - 26 = 4923104903 is a prime.

It is a super-3 number, since 3×49231049673 (a number of 30 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4923104917) 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 31 ways as a sum of consecutive naturals, for example, 213013 + ... + 234990.

It is an arithmetic number, because the mean of its divisors is an integer number (255362280).

Almost surely, 24923104967 is an apocalyptic number.

4923104967 is a deficient number, since it is larger than the sum of its proper divisors (3248487993).

4923104967 is a wasteful number, since it uses less digits than its factorization.

4923104967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448060 (or 448054 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 4923104967 is about 70164.8413879772. The cubic root of 4923104967 is about 1701.1647113037.

The spelling of 4923104967 in words is "four billion, nine hundred twenty-three million, one hundred four thousand, nine hundred sixty-seven".

Divisors: 1 3 9 11 27 33 37 99 111 297 333 407 999 1221 3663 10989 448003 1344009 4032027 4928033 12096081 14784099 16576111 44352297 49728333 133056891 149184999 182337221 447554997 547011663 1641034989 4923104967