Search a number
-
+
5226607097712 = 24357111317197401
BaseRepresentation
bin100110000001110101000…
…0011110011011101110000
3200111122210020100102100000
41030003222003303131300
51141113042404111322
615041023053030000
71046416124211450
oct114035203633560
920448706312300
105226607097712
1117356564a4010
12704b50185300
132bbb36869230
14140d7d431d60
1590e519ba3ac
hex4c0ea0f3770

5226607097712 has 1920 divisors, whose sum is σ = 21728317298688. Its totient is φ = 1170505728000.

The previous prime is 5226607097639. The next prime is 5226607097737. The reversal of 5226607097712 is 2177907066225.

It is a happy number.

5226607097712 is a `hidden beast` number, since 5 + 2 + 26 + 607 + 0 + 9 + 7 + 7 + 1 + 2 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 13033932712 + ... + 13033933112.

Almost surely, 25226607097712 is an apocalyptic number.

5226607097712 is a gapful number since it is divisible by the number (52) 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 5226607097712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10864158649344).

5226607097712 is an abundant number, since it is smaller than the sum of its proper divisors (16501710200976).

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

5226607097712 is a wasteful number, since it uses less digits than its factorization.

5226607097712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 54.

The spelling of 5226607097712 in words is "five trillion, two hundred twenty-six billion, six hundred seven million, ninety-seven thousand, seven hundred twelve".