Search a number
-
+
9091561920 = 2635721711369
BaseRepresentation
bin10000111011110011…
…00011100111000000
3212110121101012100120
420131321203213000
5122104414440140
64102051420240
7441204000300
oct103571434700
925417335316
109091561920
113945a4a041
1219188b4680
13b1b72b14c
1462364b600
153832661d0
hex21de639c0

9091561920 has 336 divisors, whose sum is σ = 35556809760. Its totient is φ = 1955659776.

The previous prime is 9091561901. The next prime is 9091561931. The reversal of 9091561920 is 291651909.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 793996 + ... + 805364.

Almost surely, 29091561920 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 9091561920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17778404880).

9091561920 is an abundant number, since it is smaller than the sum of its proper divisors (26465247840).

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

9091561920 is a wasteful number, since it uses less digits than its factorization.

9091561920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11420 (or 11403 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 42.

The square root of 9091561920 is about 95349.6823277351. The cubic root of 9091561920 is about 2087.1139794181.

The spelling of 9091561920 in words is "nine billion, ninety-one million, five hundred sixty-one thousand, nine hundred twenty".