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1376251230816 = 253571111320341
BaseRepresentation
bin10100000001101110111…
…101110011101001100000
311212120100022111022200000
4110001232331303221200
5140022030303341231
62532124024100000
7201300534305640
oct24015675635140
94776308438600
101376251230816
11490734a39520
121a2887904600
139ca1a691527
144a87a4ca520
1525bed2476e6
hex1406ef73a60

1376251230816 has 576 divisors, whose sum is σ = 5105187150336. Its totient is φ = 354287001600.

The previous prime is 1376251230793. The next prime is 1376251230817. The reversal of 1376251230816 is 6180321526731.

It is a happy number.

1376251230816 is a `hidden beast` number, since 1 + 3 + 7 + 625 + 1 + 2 + 3 + 0 + 8 + 16 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1376251230817) 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, 67648806 + ... + 67669146.

It is an arithmetic number, because the mean of its divisors is an integer number (8863172136).

Almost surely, 21376251230816 is an apocalyptic number.

1376251230816 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 1376251230816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2552593575168).

1376251230816 is an abundant number, since it is smaller than the sum of its proper divisors (3728935919520).

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

1376251230816 is a wasteful number, since it uses less digits than its factorization.

1376251230816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20497 (or 20477 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 1376251230816 in words is "one trillion, three hundred seventy-six billion, two hundred fifty-one million, two hundred thirty thousand, eight hundred sixteen".