Search a number
-
+
40647898368 = 28327111931389
BaseRepresentation
bin100101110110110011…
…011011010100000000
310212220211012011222100
4211312303123110000
51131221330221433
630401241310400
72636202302220
oct456663332400
9125824164870
1040647898368
1116269751740
127a64a95400
133aaa37ba8c
141d78662080
1510cd816b13
hex976cdb500

40647898368 has 864 divisors, whose sum is σ = 159176908800. Its totient is φ = 9654681600.

The previous prime is 40647898309. The next prime is 40647898481. The reversal of 40647898368 is 86389874604.

40647898368 is a `hidden beast` number, since 40 + 6 + 478 + 98 + 36 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 104493118 + ... + 104493506.

Almost surely, 240647898368 is an apocalyptic number.

40647898368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40647898368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79588454400).

40647898368 is an abundant number, since it is smaller than the sum of its proper divisors (118529010432).

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

40647898368 is a wasteful number, since it uses less digits than its factorization.

40647898368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 462 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 63.

The spelling of 40647898368 in words is "forty billion, six hundred forty-seven million, eight hundred ninety-eight thousand, three hundred sixty-eight".