Search a number
-
+
8611621920 = 2534511292083
BaseRepresentation
bin10000000010100101…
…01110110000100000
3211020011021201110000
420001102232300200
5120114033400140
63542304540000
7423255402306
oct100122566040
924204251400
108611621920
11371a044010
121804021600
13a7317a895
145b99d8276
15356061a30
hex2014aec20

8611621920 has 480 divisors, whose sum is σ = 34314477120. Its totient is φ = 2014709760.

The previous prime is 8611621903. The next prime is 8611621951. The reversal of 8611621920 is 291261168.

8611621920 is a `hidden beast` number, since 8 + 6 + 1 + 1 + 621 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 4133199 + ... + 4135281.

It is an arithmetic number, because the mean of its divisors is an integer number (71488494).

Almost surely, 28611621920 is an apocalyptic number.

8611621920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8611621920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17157238560).

8611621920 is an abundant number, since it is smaller than the sum of its proper divisors (25702855200).

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

8611621920 is a wasteful number, since it uses less digits than its factorization.

8611621920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2133 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 8611621920 is about 92798.8249925612. The cubic root of 8611621920 is about 2049.7221054995.

The spelling of 8611621920 in words is "eight billion, six hundred eleven million, six hundred twenty-one thousand, nine hundred twenty".