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40783112832 = 27371113110529
BaseRepresentation
bin100101111110110111…
…001110101010000000
310220021020121210100110
4211332313032222000
51132010434102312
630422511351320
72642433511410
oct457667165200
9126236553313
1040783112832
1116329005330
127aa2222540
133acc3a1b37
141d8c5bc640
1510da62543c
hex97edcea80

40783112832 has 256 divisors, whose sum is σ = 136104883200. Its totient is φ = 10511155200.

The previous prime is 40783112831. The next prime is 40783112833. The reversal of 40783112832 is 23821138704.

It is an interprime number because it is at equal distance from previous prime (40783112831) and next prime (40783112833).

It is not an unprimeable number, because it can be changed into a prime (40783112831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3868144 + ... + 3878672.

It is an arithmetic number, because the mean of its divisors is an integer number (531659700).

Almost surely, 240783112832 is an apocalyptic number.

40783112832 is a gapful number since it is divisible by the number (42) 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 40783112832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68052441600).

40783112832 is an abundant number, since it is smaller than the sum of its proper divisors (95321770368).

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

40783112832 is a wasteful number, since it uses less digits than its factorization.

40783112832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10695 (or 10683 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 40783112832 in words is "forty billion, seven hundred eighty-three million, one hundred twelve thousand, eight hundred thirty-two".