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8996272128 = 2113518077
BaseRepresentation
bin10000110000011100…
…00011100000000000
3212012222001222100000
420120032003200000
5121411021202003
64044405200000
7435636023424
oct103016034000
925188058300
108996272128
1138a7185448
1218b0a00000
13b04a7655c
14614b24b84
15379be21a3
hex218383800

8996272128 has 144 divisors (see below), whose sum is σ = 26946705240. Its totient is φ = 2998591488.

The previous prime is 8996272121. The next prime is 8996272183. The reversal of 8996272128 is 8212726998.

8996272128 is a `hidden beast` number, since 8 + 9 + 9 + 627 + 2 + 1 + 2 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8996272121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 488626 + ... + 506702.

Almost surely, 28996272128 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 8996272128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13473352620).

8996272128 is an abundant number, since it is smaller than the sum of its proper divisors (17950433112).

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

8996272128 is an equidigital number, since it uses as much as digits as its factorization.

8996272128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18114 (or 18082 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 54.

The square root of 8996272128 is about 94848.6801595046. The cubic root of 8996272128 is about 2079.7965876031.

The spelling of 8996272128 in words is "eight billion, nine hundred ninety-six million, two hundred seventy-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10368 13824 15552 18077 18432 20736 27648 31104 36154 41472 54231 55296 62208 72308 82944 108462 124416 144616 162693 165888 216924 248832 289232 325386 433848 488079 497664 578464 650772 867696 976158 1156928 1301544 1464237 1735392 1952316 2313856 2603088 2928474 3470784 3904632 4392711 4627712 5206176 5856948 6941568 7809264 8785422 9255424 10412352 11713896 13883136 15618528 17570844 18510848 20824704 23427792 27766272 31237056 35141688 37021696 41649408 46855584 55532544 62474112 70283376 83298816 93711168 111065088 124948224 140566752 166597632 187422336 249896448 281133504 333195264 374844672 499792896 562267008 749689344 999585792 1124534016 1499378688 2249068032 2998757376 4498136064 8996272128