Search a number
-
+
1396825268832 = 253371237186707
BaseRepresentation
bin10100010100111001010…
…001100010001001100000
311221112110011011202001000
4110110321101202021200
5140341144232100312
62545405341112000
7202626426612030
oct24247121421140
94845404152030
101396825268832
114994324a3824
121a6869b58600
13a1948c74a16
144b86cb1b8c0
15265045a3adc
hex14539462260

1396825268832 has 192 divisors, whose sum is σ = 4659873200640. Its totient is φ = 398768168448.

The previous prime is 1396825268801. The next prime is 1396825268887. The reversal of 1396825268832 is 2388625286931.

1396825268832 is a `hidden beast` number, since 13 + 9 + 68 + 2 + 526 + 8 + 8 + 32 = 666.

It is a super-2 number, since 2×13968252688322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1396825268832.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7388023 + ... + 7574729.

It is an arithmetic number, because the mean of its divisors is an integer number (24270172920).

Almost surely, 21396825268832 is an apocalyptic number.

1396825268832 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 1396825268832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2329936600320).

1396825268832 is an abundant number, since it is smaller than the sum of its proper divisors (3263047931808).

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

1396825268832 is a wasteful number, since it uses less digits than its factorization.

1396825268832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187970 (or 187956 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 1396825268832 in words is "one trillion, three hundred ninety-six billion, eight hundred twenty-five million, two hundred sixty-eight thousand, eight hundred thirty-two".