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1374976512 = 29337131093
BaseRepresentation
bin101000111110100…
…0111101000000000
310112211021001012000
41101331013220000
510303443222022
6344234304000
746034051610
oct12175075000
93484231160
101374976512
11646158228
12324588000
1318bb29990
14d087aa40
1580aa06ac
hex51f47a00

1374976512 has 320 divisors, whose sum is σ = 5013845760. Its totient is φ = 362299392.

The previous prime is 1374976489. The next prime is 1374976523. The reversal of 1374976512 is 2156794731.

It is a super-2 number, since 2×13749765122 = 3781120817103372288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1257438 + ... + 1258530.

It is an arithmetic number, because the mean of its divisors is an integer number (15668268).

Almost surely, 21374976512 is an apocalyptic number.

1374976512 is a gapful number since it is divisible by the number (12) 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 1374976512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2506922880).

1374976512 is an abundant number, since it is smaller than the sum of its proper divisors (3638869248).

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

1374976512 is a wasteful number, since it uses less digits than its factorization.

1374976512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1118 counting only the distinct ones).

The product of its digits is 317520, while the sum is 45.

The square root of 1374976512 is about 37080.6757219984. The cubic root of 1374976512 is about 1111.9837135099.

The spelling of 1374976512 in words is "one billion, three hundred seventy-four million, nine hundred seventy-six thousand, five hundred twelve".