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10247056820 = 225711213193179
BaseRepresentation
bin10011000101100010…
…11010110110110100
3222110010122102100222
421202301122312310
5131441221304240
64412445553512
7511634355140
oct114261326664
928403572328
1010247056820
114389218500
121b9b875898
13c73c3c340
146d2cb4220
153ee90eeb5
hex262c5adb4

10247056820 has 576 divisors, whose sum is σ = 32032358400. Its totient is φ = 2668723200.

The previous prime is 10247056747. The next prime is 10247056843. The reversal of 10247056820 is 2865074201.

10247056820 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 129709541 + ... + 129709619.

Almost surely, 210247056820 is an apocalyptic number.

10247056820 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 10247056820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16016179200).

10247056820 is an abundant number, since it is smaller than the sum of its proper divisors (21785301580).

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

10247056820 is a wasteful number, since it uses less digits than its factorization.

10247056820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 35.

The spelling of 10247056820 in words is "ten billion, two hundred forty-seven million, fifty-six thousand, eight hundred twenty".