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1374770816 = 2737535477
BaseRepresentation
bin101000111110001…
…0101011010000000
310112210212121000122
41101330111122000
510303420131231
6344230035412
746032234116
oct12174253200
93483777018
101374770816
11646027731
123244a8b68
1318ba87173
14d0825ab6
1580a5e77b
hex51f15680

1374770816 has 64 divisors (see below), whose sum is σ = 2866418280. Its totient is φ = 656068608.

The previous prime is 1374770797. The next prime is 1374770819. The reversal of 1374770816 is 6180774731.

It can be written as a sum of positive squares in 4 ways, for example, as 1231729216 + 143041600 = 35096^2 + 11960^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (1374770819) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 248270 + ... + 253746.

Almost surely, 21374770816 is an apocalyptic number.

1374770816 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 1374770816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1433209140).

1374770816 is an abundant number, since it is smaller than the sum of its proper divisors (1491647464).

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

1374770816 is an equidigital number, since it uses as much as digits as its factorization.

1374770816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5581 (or 5569 counting only the distinct ones).

The product of its (nonzero) digits is 197568, while the sum is 44.

The square root of 1374770816 is about 37077.9019902691. The cubic root of 1374770816 is about 1111.9282599544.

The spelling of 1374770816 in words is "one billion, three hundred seventy-four million, seven hundred seventy thousand, eight hundred sixteen".

Divisors: 1 2 4 8 16 32 37 53 64 74 106 128 148 212 296 424 592 848 1184 1696 1961 2368 3392 3922 4736 5477 6784 7844 10954 15688 21908 31376 43816 62752 87632 125504 175264 202649 251008 290281 350528 405298 580562 701056 810596 1161124 1621192 2322248 3242384 4644496 6484768 9288992 10740397 12969536 18577984 21480794 25939072 37155968 42961588 85923176 171846352 343692704 687385408 1374770816