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1386897656256 = 263272831215451
BaseRepresentation
bin10100001011101001100…
…010101100100111000000
311220120211021121202210100
4110023221202230213000
5140210331300000011
62541044302002400
7202125421366110
oct24135142544700
94816737552710
101386897656256
114951a8630532
121a4959276400
13a0a26280958
144b1aa43d040
1526122c43d56
hex142e98ac9c0

1386897656256 has 168 divisors, whose sum is σ = 4559247964544. Its totient is φ = 394855948800.

The previous prime is 1386897656197. The next prime is 1386897656279. The reversal of 1386897656256 is 6526567986831.

1386897656256 is a `hidden beast` number, since 1 + 3 + 8 + 6 + 8 + 9 + 7 + 6 + 562 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 533331 + ... + 1748781.

Almost surely, 21386897656256 is an apocalyptic number.

1386897656256 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 1386897656256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2279623982272).

1386897656256 is an abundant number, since it is smaller than the sum of its proper divisors (3172350308288).

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

1386897656256 is a wasteful number, since it uses less digits than its factorization.

1386897656256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215759 (or 1215746 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 1386897656256 in words is "one trillion, three hundred eighty-six billion, eight hundred ninety-seven million, six hundred fifty-six thousand, two hundred fifty-six".