Search a number
-
+
12937784340 = 22351397307557
BaseRepresentation
bin11000000110010011…
…01110110000010100
31020101122201112121210
430003021232300110
5202444033044330
65535445341420
7635416231605
oct140311566024
936348645553
1012937784340
11553a050958
122610a07870
1312b252a3c0
148aa3b1dac
1550ac628b0
hex30326ec14

12937784340 has 192 divisors, whose sum is σ = 39613964544. Its totient is φ = 3135946752.

The previous prime is 12937784333. The next prime is 12937784369. The reversal of 12937784340 is 4348773921.

It is a self number, because there is not a number n which added to its sum of digits gives 12937784340.

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, 23227342 + ... + 23227898.

It is an arithmetic number, because the mean of its divisors is an integer number (206322732).

Almost surely, 212937784340 is an apocalyptic number.

12937784340 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 12937784340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19806982272).

12937784340 is an abundant number, since it is smaller than the sum of its proper divisors (26676180204).

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

12937784340 is a wasteful number, since it uses less digits than its factorization.

12937784340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 986 (or 984 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 12937784340 in words is "twelve billion, nine hundred thirty-seven million, seven hundred eighty-four thousand, three hundred forty".