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1377745614 = 232723945751
BaseRepresentation
bin101001000011110…
…1011101011001110
310120000110201200100
41102013223223032
510310200324424
6344413511530
746066434030
oct12207535316
93500421610
101377745614
11647779743
123254a25a6
1318c5891bb
14d0d9bc50
1580e4adc9
hex521ebace

1377745614 has 48 divisors (see below), whose sum is σ = 3425909760. Its totient is φ = 391986000.

The previous prime is 1377745583. The next prime is 1377745661. The reversal of 1377745614 is 4165477731.

1377745614 is a `hidden beast` number, since 13 + 7 + 7 + 74 + 561 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1377745614.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7239 + ... + 52989.

It is an arithmetic number, because the mean of its divisors is an integer number (71373120).

Almost surely, 21377745614 is an apocalyptic number.

1377745614 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1377745614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1712954880).

1377745614 is an abundant number, since it is smaller than the sum of its proper divisors (2048164146).

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

1377745614 is a wasteful number, since it uses less digits than its factorization.

1377745614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46005 (or 46002 counting only the distinct ones).

The product of its digits is 493920, while the sum is 45.

The square root of 1377745614 is about 37117.9958241282. The cubic root of 1377745614 is about 1112.7296975360.

The spelling of 1377745614 in words is "one billion, three hundred seventy-seven million, seven hundred forty-five thousand, six hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 239 478 717 1434 1673 2151 3346 4302 5019 10038 15057 30114 45751 91502 137253 274506 320257 411759 640514 823518 960771 1921542 2882313 5764626 10934489 21868978 32803467 65606934 76541423 98410401 153082846 196820802 229624269 459248538 688872807 1377745614