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1377741312 = 2934139239
BaseRepresentation
bin101001000011110…
…1010101000000000
310120000110111210000
41102013222220000
510310200210222
6344413440000
746066415343
oct12207525000
93500414700
101377741312
11647776492
123254a0000
1318c58725c
14d0d9a45a
1580e499ac
hex521eaa00

1377741312 has 200 divisors, whose sum is σ = 4159108800. Its totient is φ = 454035456.

The previous prime is 1377741289. The next prime is 1377741317. The reversal of 1377741312 is 2131477731.

It is a happy number.

It is a super-2 number, since 2×13777413122 = 3796342245582962688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1377741317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 5764489 + ... + 5764727.

It is an arithmetic number, because the mean of its divisors is an integer number (20795544).

Almost surely, 21377741312 is an apocalyptic number.

1377741312 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 1377741312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2079554400).

1377741312 is an abundant number, since it is smaller than the sum of its proper divisors (2781367488).

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

1377741312 is an equidigital number, since it uses as much as digits as its factorization.

1377741312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 408 (or 383 counting only the distinct ones).

The product of its digits is 24696, while the sum is 36.

The square root of 1377741312 is about 37117.9378737559. The cubic root of 1377741312 is about 1112.7285393715.

The spelling of 1377741312 in words is "one billion, three hundred seventy-seven million, seven hundred forty-one thousand, three hundred twelve".