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6923805824 = 27134160941
BaseRepresentation
bin1100111001011000…
…01110010010000000
3122212112100210000202
412130230032102000
5103134443241244
63103013104332
7333402243545
oct63454162200
918775323022
106923805824
112a33342881
1214129280a8
138645a8c30
144997a4bcc
152a7cb804e
hex19cb0e480

6923805824 has 32 divisors (see below), whose sum is σ = 14854562940. Its totient is φ = 3195601920.

The previous prime is 6923805821. The next prime is 6923805841. The reversal of 6923805824 is 4285083296.

It can be written as a sum of positive squares in 2 ways, for example, as 6862465600 + 61340224 = 82840^2 + 7832^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (6923805821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2078807 + ... + 2082134.

Almost surely, 26923805824 is an apocalyptic number.

6923805824 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6923805824 is an abundant number, since it is smaller than the sum of its proper divisors (7930757116).

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

6923805824 is a wasteful number, since it uses less digits than its factorization.

6923805824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4160968 (or 4160956 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 47.

The square root of 6923805824 is about 83209.4094679202. The cubic root of 6923805824 is about 1905.9651696419.

The spelling of 6923805824 in words is "six billion, nine hundred twenty-three million, eight hundred five thousand, eight hundred twenty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 416 832 1664 4160941 8321882 16643764 33287528 54092233 66575056 108184466 133150112 216368932 266300224 432737864 532600448 865475728 1730951456 3461902912 6923805824