Search a number
-
+
9995556000 = 25353832963
BaseRepresentation
bin10010100111100100…
…00001010010100000
3221210121101212002210
421103302001102200
5130432330243000
64331503242120
7502461552453
oct112362012240
927717355083
109995556000
11426a25a191
121b2b5a9340
13c33ac27a1
146ab72749a
153d77d1350
hex253c814a0

9995556000 has 96 divisors (see below), whose sum is σ = 32745480768. Its totient is φ = 2665478400.

The previous prime is 9995555987. The next prime is 9995556047. The reversal of 9995556000 is 6555999.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×99955560002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404482 + ... + 428481.

It is an arithmetic number, because the mean of its divisors is an integer number (341098758).

Almost surely, 29995556000 is an apocalyptic number.

It is an amenable number.

9995556000 is an abundant number, since it is smaller than the sum of its proper divisors (22749924768).

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

9995556000 is a wasteful number, since it uses less digits than its factorization.

9995556000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832991 (or 832973 counting only the distinct ones).

The product of its (nonzero) digits is 546750, while the sum is 48.

The square root of 9995556000 is about 99977.7775308093. Note that the first 3 decimals coincide. The cubic root of 9995556000 is about 2154.1154991523.

The spelling of 9995556000 in words is "nine billion, nine hundred ninety-five million, five hundred fifty-six thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 750 800 1000 1200 1500 2000 2400 3000 4000 6000 12000 832963 1665926 2498889 3331852 4164815 4997778 6663704 8329630 9995556 12494445 13327408 16659260 19991112 20824075 24988890 26654816 33318520 39982224 41648150 49977780 62472225 66637040 79964448 83296300 99955560 104120375 124944450 133274080 166592600 199911120 208240750 249888900 312361125 333185200 399822240 416481500 499777800 624722250 666370400 832963000 999555600 1249444500 1665926000 1999111200 2498889000 3331852000 4997778000 9995556000