Search a number
-
+
1348373178372 = 223111719417271061
BaseRepresentation
bin10011100111110001010…
…011011110100000000100
311202220101110000112010010
4103213301103132200010
5134042432013201442
62511233432430220
7166262641624053
oct23476123364004
94686343015103
101348373178372
1147a929564060
121993a7548370
139a1c6accccc
1449393c0239a
152511aa6db9c
hex139f14de804

1348373178372 has 384 divisors, whose sum is σ = 3927778283520. Its totient is φ = 354613248000.

The previous prime is 1348373178307. The next prime is 1348373178379. The reversal of 1348373178372 is 2738713738431.

It is a super-2 number, since 2×13483731783722 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1348373178379) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1270850722 + ... + 1270851782.

It is an arithmetic number, because the mean of its divisors is an integer number (10228589280).

Almost surely, 21348373178372 is an apocalyptic number.

1348373178372 is a gapful number since it is divisible by the number (12) 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 1348373178372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1963889141760).

1348373178372 is an abundant number, since it is smaller than the sum of its proper divisors (2579405105148).

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

1348373178372 is a wasteful number, since it uses less digits than its factorization.

1348373178372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1883 (or 1881 counting only the distinct ones).

The product of its digits is 14224896, while the sum is 57.

The spelling of 1348373178372 in words is "one trillion, three hundred forty-eight billion, three hundred seventy-three million, one hundred seventy-eight thousand, three hundred seventy-two".