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4149518912 = 26711899461
BaseRepresentation
bin1111011101010100…
…1010001001000000
3101201012001101211122
43313111022021000
531444234101122
61523430331412
7204554220530
oct36725121100
911635041748
104149518912
11183a327a80
129797b9b68
135118b2646
142b51554c0
1519445c142
hexf754a240

4149518912 has 112 divisors (see below), whose sum is σ = 10382463360. Its totient is φ = 1598361600.

The previous prime is 4149518903. The next prime is 4149518917. The reversal of 4149518912 is 2198159414.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (4149518917) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 433862 + ... + 443322.

Almost surely, 24149518912 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 4149518912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5191231680).

4149518912 is an abundant number, since it is smaller than the sum of its proper divisors (6232944448).

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

4149518912 is a wasteful number, since it uses less digits than its factorization.

4149518912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580 (or 9570 counting only the distinct ones).

The product of its digits is 103680, while the sum is 44.

The square root of 4149518912 is about 64416.7595583634. The cubic root of 4149518912 is about 1606.9384758101.

The spelling of 4149518912 in words is "four billion, one hundred forty-nine million, five hundred eighteen thousand, nine hundred twelve".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 89 112 154 176 178 224 308 352 356 448 616 623 704 712 979 1232 1246 1424 1958 2464 2492 2848 3916 4928 4984 5696 6853 7832 9461 9968 13706 15664 18922 19936 27412 31328 37844 39872 54824 62656 66227 75688 104071 109648 132454 151376 208142 219296 264908 302752 416284 438592 529816 605504 728497 832568 842029 1059632 1456994 1665136 1684058 2119264 2913988 3330272 3368116 4238528 5827976 5894203 6660544 6736232 9262319 11655952 11788406 13472464 18524638 23311904 23576812 26944928 37049276 46623808 47153624 53889856 64836233 74098552 94307248 129672466 148197104 188614496 259344932 296394208 377228992 518689864 592788416 1037379728 2074759456 4149518912