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4312976896 = 29191273491
BaseRepresentation
bin1000000010001001…
…01100111000000000
3102010120121221001001
410001010230320000
532313110230041
61551550021344
7211610461444
oct40104547000
912116557031
104312976896
111913621418
12a044a7854
13539714047
142ccb44824
151a3999131
hex10112ce00

4312976896 has 80 divisors (see below), whose sum is σ = 9145128960. Its totient is φ = 2026321920.

The previous prime is 4312976893. The next prime is 4312976909. The reversal of 4312976896 is 6986792134.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4312976893) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233711 + ... + 1237201.

It is an arithmetic number, because the mean of its divisors is an integer number (114314112).

Almost surely, 24312976896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4312976896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4572564480).

4312976896 is an abundant number, since it is smaller than the sum of its proper divisors (4832152064).

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

4312976896 is a wasteful number, since it uses less digits than its factorization.

4312976896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3655 (or 3639 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 55.

The square root of 4312976896 is about 65673.2586065287. The cubic root of 4312976896 is about 1627.7675154540.

The spelling of 4312976896 in words is "four billion, three hundred twelve million, nine hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 19 32 38 64 76 127 128 152 254 256 304 508 512 608 1016 1216 2032 2413 2432 3491 4064 4826 4864 6982 8128 9652 9728 13964 16256 19304 27928 32512 38608 55856 65024 66329 77216 111712 132658 154432 223424 265316 308864 443357 446848 530632 617728 886714 893696 1061264 1235456 1773428 1787392 2122528 3546856 4245056 7093712 8423783 8490112 14187424 16847566 16980224 28374848 33695132 33960448 56749696 67390264 113499392 134780528 226998784 269561056 539122112 1078244224 2156488448 4312976896