Search a number
-
+
900815400855 = 3356672706673
BaseRepresentation
bin11010001101111001100…
…10000010111110010111
310012010011101002201221000
431012330302002332113
5104224332220311410
61525455012154343
7122040021366336
oct15067462027627
93163141081830
10900815400855
1131804089a5a7
121267013089b3
1366c3c6a1c16
14318577ddd1d
1518673de6dc0
hexd1bcc82f97

900815400855 has 16 divisors (see below), whose sum is σ = 1601449601760. Its totient is φ = 480434880384.

The previous prime is 900815400829. The next prime is 900815400871. The reversal of 900815400855 is 558004518009.

It is a happy number.

900815400855 is a `hidden beast` number, since 90 + 0 + 81 + 5 + 400 + 85 + 5 = 666.

It is not a de Polignac number, because 900815400855 - 220 = 900814352279 is a prime.

It is a super-2 number, since 2×9008154008552 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 900815400855.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3336353202 + ... + 3336353471.

It is an arithmetic number, because the mean of its divisors is an integer number (100090600110).

Almost surely, 2900815400855 is an apocalyptic number.

900815400855 is a deficient number, since it is larger than the sum of its proper divisors (700634200905).

900815400855 is a wasteful number, since it uses less digits than its factorization.

900815400855 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672706687 (or 6672706681 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 45.

The spelling of 900815400855 in words is "nine hundred billion, eight hundred fifteen million, four hundred thousand, eight hundred fifty-five".

Divisors: 1 3 5 9 15 27 45 135 6672706673 20018120019 33363533365 60054360057 100090600095 180163080171 300271800285 900815400855