Search a number
-
+
1000796225464 = 2372347107367421
BaseRepresentation
bin11101001000001000001…
…10100111111110111000
310112200020012122212111001
432210010012213332320
5112344112313203324
62043432012214344
7132206443362040
oct16440406477670
93480205585431
101000796225464
11356487418972
12141b6476a3b4
13734b4229679
14366200ac720
151b0765e4e44
hexe9041a7fb8

1000796225464 has 256 divisors, whose sum is σ = 2318556856320. Its totient is φ = 395756444160.

The previous prime is 1000796225453. The next prime is 1000796225477. The reversal of 1000796225464 is 4645226970001.

1000796225464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2377187974 + ... + 2377188394.

It is an arithmetic number, because the mean of its divisors is an integer number (9056862720).

Almost surely, 21000796225464 is an apocalyptic number.

1000796225464 is a gapful number since it is divisible by the number (14) 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 1000796225464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159278428160).

1000796225464 is an abundant number, since it is smaller than the sum of its proper divisors (1317760630856).

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

1000796225464 is a wasteful number, since it uses less digits than its factorization.

1000796225464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 978 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 46.

The spelling of 1000796225464 in words is "one trillion, seven hundred ninety-six million, two hundred twenty-five thousand, four hundred sixty-four".