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4075693002 = 2321929607677
BaseRepresentation
bin1111001011101110…
…0010001111001010
3101112001010122201200
43302323202033022
531321334134002
61512232125030
7202666550613
oct36273421712
911461118650
104075693002
111801693527
12958b36776
134cc504584
142a9418c0a
1518cc27b1c
hexf2ee23ca

4075693002 has 96 divisors (see below), whose sum is σ = 9646041600. Its totient is φ = 1238799744.

The previous prime is 4075692997. The next prime is 4075693049. The reversal of 4075693002 is 2003965704.

It is a super-2 number, since 2×40756930022 = 33222546893103544008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6019888 + ... + 6020564.

It is an arithmetic number, because the mean of its divisors is an integer number (100479600).

Almost surely, 24075693002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4075693002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4823020800).

4075693002 is an abundant number, since it is smaller than the sum of its proper divisors (5570348598).

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

4075693002 is a wasteful number, since it uses less digits than its factorization.

4075693002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1337 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 4075693002 is about 63841.1544538474. The cubic root of 4075693002 is about 1597.3514778861.

The spelling of 4075693002 in words is "four billion, seventy-five million, six hundred ninety-three thousand, two".

Divisors: 1 2 3 6 9 18 19 29 38 57 58 87 114 171 174 261 342 522 551 607 677 1102 1214 1354 1653 1821 2031 3306 3642 4062 4959 5463 6093 9918 10926 11533 12186 12863 17603 19633 23066 25726 34599 35206 38589 39266 52809 58899 69198 77178 103797 105618 115767 117798 158427 176697 207594 231534 316854 334457 353394 373027 410939 668914 746054 821878 1003371 1119081 1232817 2006742 2238162 2465634 3010113 3357243 3698451 6020226 6714486 7396902 7807841 11917231 15615682 23423523 23834462 35751693 46847046 70270569 71503386 107255079 140541138 214510158 226427389 452854778 679282167 1358564334 2037846501 4075693002