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3718920912 = 243737389769
BaseRepresentation
bin1101110110101010…
…0011101011010000
3100121011210202102120
43131222203223100
530104020432122
61413005214240
7161105210010
oct33552435320
910534722376
103718920912
111639263363
12879561380
13473619b25
14273ca7c40
1516b75275c
hexddaa3ad0

3718920912 has 160 divisors (see below), whose sum is σ = 11320108800. Its totient is φ = 1029832704.

The previous prime is 3718920911. The next prime is 3718920929. The reversal of 3718920912 is 2190298173.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3718920911) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4835664 + ... + 4836432.

It is an arithmetic number, because the mean of its divisors is an integer number (70750680).

Almost surely, 23718920912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3718920912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5660054400).

3718920912 is an abundant number, since it is smaller than the sum of its proper divisors (7601187888).

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

3718920912 is a wasteful number, since it uses less digits than its factorization.

3718920912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1213 (or 1207 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The square root of 3718920912 is about 60982.9559139273. The cubic root of 3718920912 is about 1549.3123431801.

The spelling of 3718920912 in words is "three billion, seven hundred eighteen million, nine hundred twenty thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 56 74 84 111 112 148 168 222 259 296 336 389 444 518 592 769 777 778 888 1036 1167 1538 1554 1556 1776 2072 2307 2334 2723 3076 3108 3112 4144 4614 4668 5383 5446 6152 6216 6224 8169 9228 9336 10766 10892 12304 12432 14393 16149 16338 18456 18672 21532 21784 28453 28786 32298 32676 36912 43064 43179 43568 56906 57572 64596 65352 85359 86128 86358 100751 113812 115144 129192 130704 170718 172716 199171 201502 227624 230288 258384 299141 302253 341436 345432 398342 403004 455248 597513 598282 604506 682872 690864 796684 806008 897423 1195026 1196564 1209012 1365744 1593368 1612016 1794846 2093987 2390052 2393128 2418024 3186736 3589692 4187974 4780104 4786256 4836048 6281961 7179384 8375948 9560208 11068217 12563922 14358768 16751896 22136434 25127844 33204651 33503792 44272868 50255688 66409302 77477519 88545736 100511376 132818604 154955038 177091472 232432557 265637208 309910076 464865114 531274416 619820152 929730228 1239640304 1859460456 3718920912