Search a number
-
+
10152821760 = 210351921831
BaseRepresentation
bin10010111010010011…
…11100010000000000
3222012120022210011120
421131021330100000
5131243110244020
64355242112240
7506411363304
oct113511742000
928176283146
1010152821760
114340004294
121b741ab680
13c5a566853
146c4583d04
153e64e8740
hex25d27c400

10152821760 has 264 divisors, whose sum is σ = 34290950976. Its totient is φ = 2563522560.

The previous prime is 10152821743. The next prime is 10152821773. The reversal of 10152821760 is 6712825101.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5544045 + ... + 5545875.

Almost surely, 210152821760 is an apocalyptic number.

10152821760 is a gapful number since it is divisible by the number (10) 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 10152821760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17145475488).

10152821760 is an abundant number, since it is smaller than the sum of its proper divisors (24138129216).

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

10152821760 is a wasteful number, since it uses less digits than its factorization.

10152821760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1897 (or 1860 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 33.

The spelling of 10152821760 in words is "ten billion, one hundred fifty-two million, eight hundred twenty-one thousand, seven hundred sixty".