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8149757952 = 2123794747
BaseRepresentation
bin1111001011100001…
…10111000000000000
3210000222012121012010
413211300313000000
5113142314223302
63424405332520
7405646541160
oct74560670000
923028177163
108149757952
113502364856
1216b5407140
139cb588aab
1457452c5a0
1532a72d16c
hex1e5c37000

8149757952 has 104 divisors (see below), whose sum is σ = 24834587776. Its totient is φ = 2328477696.

The previous prime is 8149757921. The next prime is 8149757953. The reversal of 8149757952 is 2597579418.

It is a junction number, because it is equal to n+sod(n) for n = 8149757892 and 8149757901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8149757953) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38643 + ... + 133389.

Almost surely, 28149757952 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 8149757952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12417293888).

8149757952 is an abundant number, since it is smaller than the sum of its proper divisors (16684829824).

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

8149757952 is an equidigital number, since it uses as much as digits as its factorization.

8149757952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94781 (or 94759 counting only the distinct ones).

The product of its digits is 6350400, while the sum is 57.

The square root of 8149757952 is about 90276.0098365009. The cubic root of 8149757952 is about 2012.4027561618.

The spelling of 8149757952 in words is "eight billion, one hundred forty-nine million, seven hundred fifty-seven thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 4096 5376 6144 7168 10752 12288 14336 21504 28672 43008 86016 94747 189494 284241 378988 568482 663229 757976 1136964 1326458 1515952 1989687 2273928 2652916 3031904 3979374 4547856 5305832 6063808 7958748 9095712 10611664 12127616 15917496 18191424 21223328 24255232 31834992 36382848 42446656 48510464 63669984 72765696 84893312 97020928 127339968 145531392 169786624 194041856 254679936 291062784 339573248 388083712 509359872 582125568 679146496 1018719744 1164251136 1358292992 2037439488 2716585984 4074878976 8149757952