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1374782016 = 26379233389
BaseRepresentation
bin101000111110001…
…1000001001000000
310112210220011101110
41101330120021000
510303421011031
6344230203320
746032311556
oct12174301100
93483804343
101374782016
11646035093
123244b3540
1318ba8c2aa
14d0829bd6
1580a62c46
hex51f18240

1374782016 has 112 divisors (see below), whose sum is σ = 3708806400. Its totient is φ = 449359872.

The previous prime is 1374781997. The next prime is 1374782047. The reversal of 1374782016 is 6102874731.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 3533950 + ... + 3534338.

Almost surely, 21374782016 is an apocalyptic number.

1374782016 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 1374782016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1854403200).

1374782016 is an abundant number, since it is smaller than the sum of its proper divisors (2334024384).

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

1374782016 is a wasteful number, since it uses less digits than its factorization.

1374782016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 716 (or 706 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 39.

The square root of 1374782016 is about 37078.0530233183. The cubic root of 1374782016 is about 1111.9312795032.

The spelling of 1374782016 in words is "one billion, three hundred seventy-four million, seven hundred eighty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 158 192 233 237 316 389 466 474 632 699 778 932 948 1167 1264 1398 1556 1864 1896 2334 2528 2796 3112 3728 3792 4668 5056 5592 6224 7456 7584 9336 11184 12448 14912 15168 18407 18672 22368 24896 30731 36814 37344 44736 55221 61462 73628 74688 90637 92193 110442 122924 147256 181274 184386 220884 245848 271911 294512 362548 368772 441768 491696 543822 589024 725096 737544 883536 983392 1087644 1178048 1450192 1475088 1767072 1966784 2175288 2900384 2950176 3534144 4350576 5800768 5900352 7160323 8701152 14320646 17402304 21480969 28641292 42961938 57282584 85923876 114565168 171847752 229130336 343695504 458260672 687391008 1374782016