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804480440080 = 24587589114809
BaseRepresentation
bin10111011010011101100…
…01010101011100010000
32211220111121212200022211
423231032301111130100
5101140033443040310
61413323451441504
7112056526625362
oct13551661253420
92756447780284
10804480440080
112901a6265739
1210bab6a56294
135ab29295155
142ad1941cd32
1515dd6819c8a
hexbb4ec55710

804480440080 has 40 divisors (see below), whose sum is σ = 1870454669400. Its totient is φ = 321785699328.

The previous prime is 804480440077. The next prime is 804480440111. The reversal of 804480440080 is 80044084408.

804480440080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 90259386624 + 714221053456 = 300432^2 + 845116^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6949716 + ... + 7064524.

It is an arithmetic number, because the mean of its divisors is an integer number (46761366735).

Almost surely, 2804480440080 is an apocalyptic number.

804480440080 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

804480440080 is an abundant number, since it is smaller than the sum of its proper divisors (1065974229320).

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

804480440080 is a wasteful number, since it uses less digits than its factorization.

804480440080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202411 (or 202405 counting only the distinct ones).

The product of its (nonzero) digits is 131072, while the sum is 40.

The spelling of 804480440080 in words is "eight hundred four billion, four hundred eighty million, four hundred forty thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 87589 114809 175178 229618 350356 437945 459236 574045 700712 875890 918472 1148090 1401424 1751780 1836944 2296180 3503560 4592360 7007120 9184720 10056005501 20112011002 40224022004 50280027505 80448044008 100560055010 160896088016 201120110020 402240220040 804480440080