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1376313770896 = 2431294612
BaseRepresentation
bin10100000001110010101…
…100011000001110010000
311212120111200011200112021
4110001302230120032100
5140022142311132041
62532134140341224
7201302224012351
oct24016254301620
94776450150467
101376313770896
11490767274839
121a28a4844814
139ca2a61a6ac
144a884929d28
1525c0399ccd1
hex14072b18390

1376313770896 has 45 divisors (see below), whose sum is σ = 2755693636689. Its totient is φ = 665887886400.

The previous prime is 1376313770893. The next prime is 1376313770899. The reversal of 1376313770896 is 6980773136731.

The square root of 1376313770896 is 1173164.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (1376313770893) and next prime (1376313770899).

It can be written as a sum of positive squares in only one way, i.e., 1036657930896 + 339655840000 = 1018164^2 + 582800^2 .

It is not an unprimeable number, because it can be changed into a prime (1376313770893) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 145467606 + ... + 145477066.

Almost surely, 21376313770896 is an apocalyptic number.

1376313770896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1376313770896 is the 1173164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1376313770896

1376313770896 is an abundant number, since it is smaller than the sum of its proper divisors (1379379865793).

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

1376313770896 is an frugal number, since it uses more digits than its factorization.

1376313770896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18992 (or 9494 counting only the distinct ones).

The product of its (nonzero) digits is 24004512, while the sum is 61.

The spelling of 1376313770896 in words is "one trillion, three hundred seventy-six billion, three hundred thirteen million, seven hundred seventy thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 9461 15376 18922 37844 75688 151376 293291 586582 1173164 2346328 4692656 9092021 18184042 36368084 72736168 89510521 145472336 179021042 358042084 716084168 1432168336 2774826151 5549652302 11099304604 22198609208 44397218416 86019610681 172039221362 344078442724 688156885448 1376313770896