Search a number
-
+
9009957996 = 22331315142499
BaseRepresentation
bin10000110010000100…
…10000110001101100
3212020220211021211000
420121002100301230
5121423022123441
64050014400300
7436163244054
oct103102206154
925226737730
109009957996
113903982886
1218b5500090
13b078589c0
14616888564
1537aee72b6
hex219090c6c

9009957996 has 96 divisors (see below), whose sum is σ = 25323200000. Its totient is φ = 2753870400.

The previous prime is 9009957989. The next prime is 9009958037. The reversal of 9009957996 is 6997599009.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190755 + ... + 233253.

Almost surely, 29009957996 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 9009957996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12661600000).

9009957996 is an abundant number, since it is smaller than the sum of its proper divisors (16313242004).

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

9009957996 is a wasteful number, since it uses less digits than its factorization.

9009957996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42676 (or 42668 counting only the distinct ones).

The product of its (nonzero) digits is 12400290, while the sum is 63.

The square root of 9009957996 is about 94920.7985427851. The cubic root of 9009957996 is about 2080.8507057057.

The spelling of 9009957996 in words is "nine billion, nine million, nine hundred fifty-seven thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 151 156 234 302 351 453 468 604 702 906 1359 1404 1812 1963 2718 3926 4077 5436 5889 7852 8154 11778 16308 17667 23556 35334 42499 53001 70668 84998 106002 127497 169996 212004 254994 382491 509988 552487 764982 1104974 1147473 1529964 1657461 2209948 2294946 3314922 4589892 4972383 6417349 6629844 9944766 12834698 14917149 19252047 19889532 25669396 29834298 38504094 57756141 59668596 77008188 83425537 115512282 166851074 173268423 231024564 250276611 333702148 346536846 500553222 693073692 750829833 1001106444 1501659666 2252489499 3003319332 4504978998 9009957996