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7639641009 = 3372112133671
BaseRepresentation
bin1110001110101101…
…11010101110110001
3201201102022222022000
413013112322232301
5111121222003014
63302024004213
7360213606600
oct70726725661
921642288260
107639641009
113270418400
121592600669
139499a0b50
145268a1a37
152eaa67509
hex1c75babb1

7639641009 has 144 divisors (see below), whose sum is σ = 15588961920. Its totient is φ = 3662366400.

The previous prime is 7639640989. The next prime is 7639641017. The reversal of 7639641009 is 9001469367.

7639641009 is a `hidden beast` number, since 7 + 639 + 6 + 4 + 1 + 0 + 0 + 9 = 666.

It is not a de Polignac number, because 7639641009 - 25 = 7639640977 is a prime.

It is a super-2 number, since 2×76396410092 (a number of 21 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (7639642009) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2079244 + ... + 2082914.

It is an arithmetic number, because the mean of its divisors is an integer number (108256680).

Almost surely, 27639641009 is an apocalyptic number.

It is an amenable number.

7639641009 is an abundant number, since it is smaller than the sum of its proper divisors (7949320911).

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

7639641009 is a wasteful number, since it uses less digits than its factorization.

7639641009 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3729 (or 3705 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The square root of 7639641009 is about 87405.0399519387. The cubic root of 7639641009 is about 1969.5075520210.

The spelling of 7639641009 in words is "seven billion, six hundred thirty-nine million, six hundred forty-one thousand, nine".

Divisors: 1 3 7 9 11 13 21 27 33 39 49 63 77 91 99 117 121 143 147 189 231 273 297 351 363 429 441 539 637 693 819 847 1001 1089 1287 1323 1573 1617 1911 2079 2457 2541 3003 3267 3671 3861 4719 4851 5733 5929 7007 7623 9009 11011 11013 14157 14553 17199 17787 21021 22869 25697 27027 33033 33039 40381 42471 47723 53361 63063 77077 77091 99099 99117 121143 143169 160083 179879 189189 231231 231273 282667 297297 334061 363429 429507 444191 524953 539637 693693 693819 848001 1002183 1090287 1288521 1332573 1574859 1618911 1978669 2081079 2338427 2544003 3006549 3109337 3674671 3997719 4724577 4856733 5774483 5936007 7015281 7632009 9019647 9328011 11024013 11993157 14173731 17323449 17808021 21045843 21765359 25722697 27984033 33072039 40421381 51970347 53424063 63137529 65296077 77168091 83952099 99216117 121264143 155911041 195888231 231504273 282949667 363792429 587664693 694512819 848849001 1091377287 2546547003 7639641009