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3149112816 = 24353312447
BaseRepresentation
bin1011101110110011…
…1010010111110000
322010110121111200000
42323230322113300
522422133102231
61240252230000
7141016005633
oct27354722760
98113544600
103149112816
111376657083
1273a76b300
133b2562685
1421c33dc1a
151366ea6e6
hexbbb3a5f0

3149112816 has 120 divisors (see below), whose sum is σ = 9170913024. Its totient is φ = 1046105280.

The previous prime is 3149112803. The next prime is 3149112817. The reversal of 3149112816 is 6182119413.

3149112816 is a `hidden beast` number, since 31 + 491 + 128 + 16 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3149112817) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1285705 + ... + 1288151.

Almost surely, 23149112816 is an apocalyptic number.

3149112816 is a gapful number since it is divisible by the number (36) 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 3149112816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4585456512).

3149112816 is an abundant number, since it is smaller than the sum of its proper divisors (6021800208).

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

3149112816 is a wasteful number, since it uses less digits than its factorization.

3149112816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2801 (or 2783 counting only the distinct ones).

The product of its digits is 10368, while the sum is 36.

The square root of 3149112816 is about 56116.9565817677. The cubic root of 3149112816 is about 1465.7595747339.

The spelling of 3149112816 in words is "three billion, one hundred forty-nine million, one hundred twelve thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 331 432 486 648 662 972 993 1296 1324 1944 1986 2447 2648 2979 3888 3972 4894 5296 5958 7341 7944 8937 9788 11916 14682 15888 17874 19576 22023 23832 26811 29364 35748 39152 44046 47664 53622 58728 66069 71496 80433 88092 107244 117456 132138 142992 160866 176184 198207 214488 264276 321732 352368 396414 428976 528552 594621 643464 792828 809957 1057104 1189242 1286928 1585656 1619914 2378484 2429871 3171312 3239828 4756968 4859742 6479656 7289613 9513936 9719484 12959312 14579226 19438968 21868839 29158452 38877936 43737678 58316904 65606517 87475356 116633808 131213034 174950712 196819551 262426068 349901424 393639102 524852136 787278204 1049704272 1574556408 3149112816