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1386799755264 = 212327111729991
BaseRepresentation
bin10100001011100011101…
…101001111000000000000
311220120120110101212212200
4110023203231033000000
5140210131214132024
62541030443353200
7202123122265350
oct24134355170000
94816513355780
101386799755264
11495158343020
121a4930522800
13a0a0bbc3681
144b19b436b60
15261193562c9
hex142e3b4f000

1386799755264 has 1248 divisors, whose sum is σ = 5475918090240. Its totient is φ = 326998425600.

The previous prime is 1386799755191. The next prime is 1386799755269. The reversal of 1386799755264 is 4625579976831.

1386799755264 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 7 + 9 + 9 + 7 + 552 + 64 = 666.

It is a super-2 number, since 2×13867997552642 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 1386799755192 and 1386799755201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1386799755269) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1399393809 + ... + 1399394799.

It is an arithmetic number, because the mean of its divisors is an integer number (4387754880).

Almost surely, 21386799755264 is an apocalyptic number.

1386799755264 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 1386799755264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737959045120).

1386799755264 is an abundant number, since it is smaller than the sum of its proper divisors (4089118334976).

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

1386799755264 is a wasteful number, since it uses less digits than its factorization.

1386799755264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1085 (or 1060 counting only the distinct ones).

The product of its digits is 685843200, while the sum is 72.

The spelling of 1386799755264 in words is "one trillion, three hundred eighty-six billion, seven hundred ninety-nine million, seven hundred fifty-five thousand, two hundred sixty-four".