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4004012203660 = 2257167199860593
BaseRepresentation
bin111010010001000001101…
…110011001111010001100
3112011210001111100202122201
4322101001232121322030
51011100204111004120
612303230125251244
7562165104114640
oct72210156317214
915153044322581
104004012203660
111304101560667
12548007703b24
13230766100a41
14dbb1c14cc20
156e24834140a
hex3a441b99e8c

4004012203660 has 96 divisors (see below), whose sum is σ = 9715762022400. Its totient is φ = 1357725017088.

The previous prime is 4004012203589. The next prime is 4004012203687. The reversal of 4004012203660 is 663022104004.

It is a super-2 number, since 2×40040122036602 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4222324 + ... + 5082916.

It is an arithmetic number, because the mean of its divisors is an integer number (101205854400).

Almost surely, 24004012203660 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 4004012203660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4857881011200).

4004012203660 is an abundant number, since it is smaller than the sum of its proper divisors (5711749818740).

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

4004012203660 is a wasteful number, since it uses less digits than its factorization.

4004012203660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860975 (or 860973 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 4004012203660 its reverse (663022104004), we get a palindrome (4667034307664).

The spelling of 4004012203660 in words is "four trillion, four billion, twelve million, two hundred three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 167 199 334 398 668 796 835 995 1169 1393 1670 1990 2338 2786 3340 3980 4676 5572 5845 6965 11690 13930 23380 27860 33233 66466 132932 166165 232631 332330 465262 664660 860593 930524 1163155 1721186 2326310 3442372 4302965 4652620 6024151 8605930 12048302 17211860 24096604 30120755 60241510 120483020 143719031 171258007 287438062 342516014 574876124 685032028 718595155 856290035 1006033217 1198806049 1437190310 1712580070 2012066434 2397612098 2874380620 3425160140 4024132868 4795224196 5030166085 5994030245 10060332170 11988060490 20120664340 23976120980 28600087169 57200174338 114400348676 143000435845 200200610183 286000871690 400401220366 572001743380 800802440732 1001003050915 2002006101830 4004012203660