Search a number
-
+
45070422772992 = 2831916385722111
BaseRepresentation
bin10100011111101110001101…
…00010100000110100000000
312220120200122020220200010020
422033313012202200310000
521401413211212213432
6235505022201133440
712331142043355641
oct1217670642406400
9186520566820106
1045070422772992
11133a7293743271
12507ab4948a280
131c1c17955c2b6
14b1b5c4a896c8
155325b9c1022c
hex28fdc68a0d00

45070422772992 has 288 divisors, whose sum is σ = 127195002654720. Its totient is φ = 14128302735360.

The previous prime is 45070422772951. The next prime is 45070422772993. The reversal of 45070422772992 is 29927722407054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45070422772993) 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, 2038360017 + ... + 2038382127.

Almost surely, 245070422772992 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 45070422772992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63597501327360).

45070422772992 is an abundant number, since it is smaller than the sum of its proper divisors (82124579881728).

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

45070422772992 is a wasteful number, since it uses less digits than its factorization.

45070422772992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23169 (or 23155 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 60.

The spelling of 45070422772992 in words is "forty-five trillion, seventy billion, four hundred twenty-two million, seven hundred seventy-two thousand, nine hundred ninety-two".