Search a number
-
+
10078047840 = 253579713089
BaseRepresentation
bin10010110001011001…
…01100111001100000
3222000100121212122010
421120230230321200
5131114440012330
64344011312520
7504512664450
oct113054547140
928010555563
1010078047840
114301882563
121b5314b740
13c47c16123
146b867bd60
153deb783b0
hex258b2ce60

10078047840 has 192 divisors, whose sum is σ = 36330094080. Its totient is φ = 2300436480.

The previous prime is 10078047821. The next prime is 10078047871. The reversal of 10078047840 is 4874087001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3261016 + ... + 3264104.

It is an arithmetic number, because the mean of its divisors is an integer number (189219240).

Almost surely, 210078047840 is an apocalyptic number.

10078047840 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 10078047840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18165047040).

10078047840 is an abundant number, since it is smaller than the sum of its proper divisors (26252046240).

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

10078047840 is a wasteful number, since it uses less digits than its factorization.

10078047840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4085 (or 4077 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 39.

The spelling of 10078047840 in words is "ten billion, seventy-eight million, forty-seven thousand, eight hundred forty".