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9994006272 = 28315186179
BaseRepresentation
bin10010100111011000…
…00110111100000000
3221210111111010021110
421103230012330000
5130431431200042
64331410123320
7502442436345
oct112354067400
927714433243
109994006272
1142693a0918
121b2ab80540
13c3369c2a3
146ab4427cc
153d75c709c
hex253b06f00

9994006272 has 72 divisors (see below), whose sum is σ = 26775091840. Its totient is φ = 3309235200.

The previous prime is 9994006271. The next prime is 9994006277. The reversal of 9994006272 is 2726004999.

It is a super-2 number, since 2×99940062722 (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 a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9994006271) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72879 + ... + 159057.

Almost surely, 29994006272 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 9994006272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13387545920).

9994006272 is an abundant number, since it is smaller than the sum of its proper divisors (16781085568).

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

9994006272 is a wasteful number, since it uses less digits than its factorization.

9994006272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86349 (or 86335 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 48.

The square root of 9994006272 is about 99970.0268680568. The cubic root of 9994006272 is about 2154.0041674884.

The spelling of 9994006272 in words is "nine billion, nine hundred ninety-four million, six thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 604 768 906 1208 1812 2416 3624 4832 7248 9664 14496 19328 28992 38656 57984 86179 115968 172358 258537 344716 517074 689432 1034148 1378864 2068296 2757728 4136592 5515456 8273184 11030912 13013029 16546368 22061824 26026058 33092736 39039087 52052116 66185472 78078174 104104232 156156348 208208464 312312696 416416928 624625392 832833856 1249250784 1665667712 2498501568 3331335424 4997003136 9994006272