Search a number
-
+
60378070896 = 243311132573803
BaseRepresentation
bin111000001110110100…
…000011111101110000
312202211211222210112000
4320032310003331300
51442123241232041
643423131334000
74235140064133
oct701664037560
9182754883460
1060378070896
1123673935350
12b8505b1300
135902b91290
142ccab8a21a
151885a33bb6
hexe0ed03f70

60378070896 has 320 divisors, whose sum is σ = 204451914240. Its totient is φ = 16818831360.

The previous prime is 60378070849. The next prime is 60378070897. The reversal of 60378070896 is 69807087306.

60378070896 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×603780708962 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (60378070897) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15874531 + ... + 15878333.

It is an arithmetic number, because the mean of its divisors is an integer number (638912232).

Almost surely, 260378070896 is an apocalyptic number.

60378070896 is a gapful number since it is divisible by the number (66) 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 60378070896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102225957120).

60378070896 is an abundant number, since it is smaller than the sum of its proper divisors (144073843344).

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

60378070896 is a wasteful number, since it uses less digits than its factorization.

60378070896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4089 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 60378070896 in words is "sixty billion, three hundred seventy-eight million, seventy thousand, eight hundred ninety-six".