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40486513392 = 2433132975717
BaseRepresentation
bin100101101101001011…
…110010101011110000
310212111120111222102000
4211231023302223300
51130404021412032
630333234254000
72632202454123
oct455513625360
9125446458360
1040486513392
1116196643826
127a1aa27300
133a82ac4b00
141d610523ba
1510be588e7c
hex96d2f2af0

40486513392 has 240 divisors, whose sum is σ = 127157798880. Its totient is φ = 12326805504.

The previous prime is 40486513351. The next prime is 40486513409. The reversal of 40486513392 is 29331568404.

40486513392 is a `hidden beast` number, since 4 + 0 + 48 + 6 + 513 + 3 + 92 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 7078918 + ... + 7084634.

It is an arithmetic number, because the mean of its divisors is an integer number (529824162).

Almost surely, 240486513392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40486513392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63578899440).

40486513392 is an abundant number, since it is smaller than the sum of its proper divisors (86671285488).

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

40486513392 is a wasteful number, since it uses less digits than its factorization.

40486513392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5857 (or 5832 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 40486 and 513392, that added together give a triangular number (553878 = T1052).

The spelling of 40486513392 in words is "forty billion, four hundred eighty-six million, five hundred thirteen thousand, three hundred ninety-two".