Search a number
-
+
10327274496 = 2103573112
BaseRepresentation
bin10011001111000110…
…11011010000000000
3222122201120220100000
421213203123100000
5132122240240441
64424433200000
7513630246000
oct114743332000
928581526300
1010327274496
11441a528200
122002700000
13c87747816
146dd7d6000
154069a82b6
hex2678db400

10327274496 has 792 divisors, whose sum is σ = 39639745600. Its totient is φ = 2682408960.

The previous prime is 10327274491. The next prime is 10327274539. The reversal of 10327274496 is 69447272301.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

10327274496 is a `hidden beast` number, since 10 + 327 + 274 + 49 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (792).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10327274491) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 938843131 + ... + 938843141.

Almost surely, 210327274496 is an apocalyptic number.

10327274496 is a gapful number since it is divisible by the number (16) 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 10327274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19819872800).

10327274496 is an abundant number, since it is smaller than the sum of its proper divisors (29312471104).

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

10327274496 is an frugal number, since it uses more digits than its factorization.

10327274496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 45.

The spelling of 10327274496 in words is "ten billion, three hundred twenty-seven million, two hundred seventy-four thousand, four hundred ninety-six".