Search a number
-
+
40760194752 = 26321931317379
BaseRepresentation
bin100101111101011111…
…110011011011000000
310220012122111102122200
4211331133303123000
51131434102213002
630420332233200
72642034640014
oct457537633300
9126178442580
1040760194752
1116317081672
127a9660b800
133ac7709444
141d89534544
1510d85e9b1c
hex97d7f36c0

40760194752 has 336 divisors, whose sum is σ = 127684377600. Its totient is φ = 12384368640.

The previous prime is 40760194669. The next prime is 40760194759. The reversal of 40760194752 is 25749106704.

40760194752 is a `hidden beast` number, since 407 + 6 + 0 + 194 + 7 + 52 = 666.

It is a super-2 number, since 2×407601947522 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40760194698 and 40760194707.

It is not an unprimeable number, because it can be changed into a prime (40760194759) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 107546499 + ... + 107546877.

Almost surely, 240760194752 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 40760194752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63842188800).

40760194752 is an abundant number, since it is smaller than the sum of its proper divisors (86924182848).

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

40760194752 is a wasteful number, since it uses less digits than its factorization.

40760194752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 40760194752 in words is "forty billion, seven hundred sixty million, one hundred ninety-four thousand, seven hundred fifty-two".