Search a number
-
+
400472878905 = 32511809036119
BaseRepresentation
bin1011101001111100000…
…10110010111100111001
31102021200122101002220100
411310332002302330321
523030132024111110
6503550311350013
740635043206501
oct5647602627471
91367618332810
10400472878905
11144926555310
1265745682309
132b9c25b8948
1415550cd8a01
15a63d1a5bc0
hex5d3e0b2f39

400472878905 has 24 divisors (see below), whose sum is σ = 757257808320. Its totient is φ = 194168668320.

The previous prime is 400472878901. The next prime is 400472878961. The reversal of 400472878905 is 509878274004.

It is a happy number.

400472878905 is a `hidden beast` number, since 4 + 0 + 0 + 472 + 87 + 8 + 90 + 5 = 666.

It is not a de Polignac number, because 400472878905 - 22 = 400472878901 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (400472878901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 404517565 + ... + 404518554.

It is an arithmetic number, because the mean of its divisors is an integer number (31552408680).

Almost surely, 2400472878905 is an apocalyptic number.

400472878905 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

400472878905 is a deficient number, since it is larger than the sum of its proper divisors (356784929415).

400472878905 is a wasteful number, since it uses less digits than its factorization.

400472878905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809036141 (or 809036138 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 54.

The spelling of 400472878905 in words is "four hundred billion, four hundred seventy-two million, eight hundred seventy-eight thousand, nine hundred five".

Divisors: 1 3 5 9 11 15 33 45 55 99 165 495 809036119 2427108357 4045180595 7281325071 8899397309 12135541785 26698191927 36406625355 44496986545 80094575781 133490959635 400472878905