Search a number
-
+
1232115338496 = 28374713193697
BaseRepresentation
bin10001111011011111110…
…011000000110100000000
311100210022020101100020210
4101323133303000310000
5130141333011312441
62342005335434120
7155005652401350
oct21733763006400
94323266340223
101232115338496
1143559aa95259
1217a960b25940
138c259cab393
14438c5892b60
15220b43ab616
hex11edfcc0d00

1232115338496 has 288 divisors, whose sum is σ = 3831359938560. Its totient is φ = 344188551168.

The previous prime is 1232115338459. The next prime is 1232115338521. The reversal of 1232115338496 is 6948335112321.

It is a super-2 number, since 2×12321153384962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 333272520 + ... + 333276216.

It is an arithmetic number, because the mean of its divisors is an integer number (13303333120).

Almost surely, 21232115338496 is an apocalyptic number.

1232115338496 is a gapful number since it is divisible by the number (16) 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 1232115338496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1915679969280).

1232115338496 is an abundant number, since it is smaller than the sum of its proper divisors (2599244600064).

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

1232115338496 is a wasteful number, since it uses less digits than its factorization.

1232115338496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5089 (or 5075 counting only the distinct ones).

The product of its digits is 933120, while the sum is 48.

The spelling of 1232115338496 in words is "one trillion, two hundred thirty-two billion, one hundred fifteen million, three hundred thirty-eight thousand, four hundred ninety-six".