Search a number
-
+
2047400403876 = 2234794932
BaseRepresentation
bin11101110010110010100…
…100101110001110100100
321020201200212001212010000
4131302302210232032210
5232021034000411001
64204321320101300
7300630330201252
oct35626244561644
97221625055100
102047400403876
1171a330174893
12290972304830
1311b0b8872c29
1471147c455d2
15383ce521a86
hex1dcb292e3a4

2047400403876 has 45 divisors (see below), whose sum is σ = 5352376411921. Its totient is φ = 682458216048.

The previous prime is 2047400403869. The next prime is 2047400403947. The reversal of 2047400403876 is 6783040047402.

The square root of 2047400403876 is 1430874.

It is a perfect power (a square), and thus also a powerful number.

2047400403876 is a `hidden beast` number, since 204 + 7 + 400 + 4 + 0 + 38 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1826146822500 + 221253581376 = 1351350^2 + 470376^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 25715986 + ... + 25795478.

Almost surely, 22047400403876 is an apocalyptic number.

2047400403876 is the 1430874-th square number.

It is an amenable number.

2047400403876 is an abundant number, since it is smaller than the sum of its proper divisors (3304976008045).

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

2047400403876 is an frugal number, since it uses more digits than its factorization.

2047400403876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159002 (or 79498 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 45.

The spelling of 2047400403876 in words is "two trillion, forty-seven billion, four hundred million, four hundred three thousand, eight hundred seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 79493 158986 238479 317972 476958 715437 953916 1430874 2146311 2861748 4292622 6438933 8585244 12877866 25755732 6319137049 12638274098 18957411147 25276548196 37914822294 56872233441 75829644588 113744466882 170616700323 227488933764 341233400646 511850100969 682466801292 1023700201938 2047400403876