Search a number
-
+
7085425052160 = 29345713894219
BaseRepresentation
bin110011100011011010000…
…1111100100101000000000
3221002100201110021020220000
41213012310033210220000
51412041422303132120
623022555504520000
71330622303141340
oct147066417445000
927070643236800
107085425052160
112291a037a8404
12965252620000
133c51ca692480
141a6d176b8d20
15c44950d5990
hex671b43e4a00

7085425052160 has 1600 divisors, whose sum is σ = 31592590444800. Its totient is φ = 1477799313408.

The previous prime is 7085425052159. The next prime is 7085425052197. The reversal of 7085425052160 is 612505245807.

7085425052160 is a `hidden beast` number, since 7 + 0 + 8 + 5 + 425 + 0 + 5 + 216 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1679406531 + ... + 1679410749.

It is an arithmetic number, because the mean of its divisors is an integer number (19745369028).

Almost surely, 27085425052160 is an apocalyptic number.

7085425052160 is a gapful number since it is divisible by the number (70) 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 7085425052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15796295222400).

7085425052160 is an abundant number, since it is smaller than the sum of its proper divisors (24507165392640).

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

7085425052160 is a wasteful number, since it uses less digits than its factorization.

7085425052160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4363 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 7085425052160 in words is "seven trillion, eighty-five billion, four hundred twenty-five million, fifty-two thousand, one hundred sixty".