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1377630045 = 335117911743
BaseRepresentation
bin101001000011100…
…1111011101011101
310120000020212011000
41102013033131131
510310133130140
6344411220513
746065443061
oct12207173535
93500225130
101377630045
116476aa930
12325447739
1318c54870c
14d0d6baa1
1580e26a30
hex521cf75d

1377630045 has 64 divisors (see below), whose sum is σ = 2705817600. Its totient is φ = 659430720.

The previous prime is 1377630041. The next prime is 1377630061. The reversal of 1377630045 is 5400367731.

1377630045 is a `hidden beast` number, since 13 + 7 + 7 + 630 + 0 + 4 + 5 = 666.

It is not a de Polignac number, because 1377630045 - 22 = 1377630041 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1377629991 and 1377630009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377630041) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 111444 + ... + 123186.

It is an arithmetic number, because the mean of its divisors is an integer number (42278400).

Almost surely, 21377630045 is an apocalyptic number.

1377630045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1377630045 is a deficient number, since it is larger than the sum of its proper divisors (1328187555).

1377630045 is a wasteful number, since it uses less digits than its factorization.

1377630045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11847 (or 11841 counting only the distinct ones).

The product of its (nonzero) digits is 52920, while the sum is 36.

The square root of 1377630045 is about 37116.4390129226. The cubic root of 1377630045 is about 1112.6985837482.

Adding to 1377630045 its reverse (5400367731), we get a palindrome (6777997776).

The spelling of 1377630045 in words is "one billion, three hundred seventy-seven million, six hundred thirty thousand, forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 79 99 135 165 237 297 395 495 711 869 1185 1485 2133 2607 3555 4345 7821 10665 11743 13035 23463 35229 39105 58715 105687 117315 129173 176145 317061 387519 528435 645865 927697 1162557 1585305 1937595 2783091 3487671 4638485 5812785 8349273 10204667 13915455 17438355 25047819 30614001 41746365 51023335 91842003 125239095 153070005 275526009 459210015 1377630045