Search a number
-
+
90742923612 = 22321117193971787
BaseRepresentation
bin101010010000010110…
…0110010000101011100
322200020000211010201200
41110200230302011130
52441320142023422
6105404155435500
76361460060415
oct1244054620534
9280200733650
1090742923612
1135536018650
1215705755b90
138731a0cb53
14456b84a80c
1525616cc2ac
hex1520b3215c

90742923612 has 288 divisors, whose sum is σ = 279753626880. Its totient is φ = 24442767360.

The previous prime is 90742923499. The next prime is 90742923617. The reversal of 90742923612 is 21632924709.

90742923612 is a `hidden beast` number, since 9 + 0 + 7 + 4 + 2 + 9 + 23 + 612 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (90742923617) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 50778583 + ... + 50780369.

It is an arithmetic number, because the mean of its divisors is an integer number (971366760).

Almost surely, 290742923612 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 90742923612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139876813440).

90742923612 is an abundant number, since it is smaller than the sum of its proper divisors (189010703268).

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

90742923612 is a wasteful number, since it uses less digits than its factorization.

90742923612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2241 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 90742923612 in words is "ninety billion, seven hundred forty-two million, nine hundred twenty-three thousand, six hundred twelve".