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4023761680 = 245232186827
BaseRepresentation
bin1110111111010101…
…1011101100010000
3101101102102021100101
43233311123230100
531220040333210
61503135102144
7201466260421
oct35765335420
911342367311
104023761680
111785343784
12943671954
134c1821093
142a257b648
151883baa3a
hexefd5bb10

4023761680 has 40 divisors (see below), whose sum is σ = 9762000192. Its totient is φ = 1539525504.

The previous prime is 4023761633. The next prime is 4023761681. The reversal of 4023761680 is 861673204.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (4023761681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1091574 + ... + 1095253.

Almost surely, 24023761680 is an apocalyptic number.

4023761680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4023761680 is an abundant number, since it is smaller than the sum of its proper divisors (5738238512).

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

4023761680 is a wasteful number, since it uses less digits than its factorization.

4023761680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186863 (or 2186857 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4023761680 is about 63433.1276227178. The cubic root of 4023761680 is about 1590.5381246201.

It can be divided in two parts, 4023 and 761680, that added together give a triangular number (765703 = T1237).

The spelling of 4023761680 in words is "four billion, twenty-three million, seven hundred sixty-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 2186827 4373654 8747308 10934135 17494616 21868270 34989232 43736540 50297021 87473080 100594042 174946160 201188084 251485105 402376168 502970210 804752336 1005940420 2011880840 4023761680