Search a number
-
+
10478202048 = 2632293112017
BaseRepresentation
bin10011100001000110…
…01010110011000000
31000001020120211000100
421300203022303000
5132424404431143
64451424122400
7520442151006
oct116043126300
930036524010
1010478202048
114497743316
122045166400
13cacaac972
14715882a76
15414d6c6d3
hex2708cacc0

10478202048 has 168 divisors, whose sum is σ = 31184880480. Its totient is φ = 3359784960.

The previous prime is 10478202047. The next prime is 10478202101. The reversal of 10478202048 is 84020287401.

It is a super-2 number, since 2×104782020482 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10478202041) by changing a digit.

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, 5193936 + ... + 5195952.

Almost surely, 210478202048 is an apocalyptic number.

10478202048 is a gapful number since it is divisible by the number (18) 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 10478202048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15592440240).

10478202048 is an abundant number, since it is smaller than the sum of its proper divisors (20706678432).

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

10478202048 is a wasteful number, since it uses less digits than its factorization.

10478202048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2375 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Adding to 10478202048 its reverse (84020287401), we get a palindrome (94498489449).

The spelling of 10478202048 in words is "ten billion, four hundred seventy-eight million, two hundred two thousand, forty-eight".