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4006131848048 = 2411139613267139
BaseRepresentation
bin111010010011000000000…
…100001101001101110000
3112011222112012211212010102
4322103000010031031300
51011114024223114143
612304220324451532
7562301452600121
oct72230004151560
915158465755112
104006131848048
111304a99a96890
125484b9549ba8
13230a132a91a5
14dbc7d870048
156e31e4890b8
hex3a4c010d370

4006131848048 has 80 divisors (see below), whose sum is σ = 8542367836800. Its totient is φ = 1804912554240.

The previous prime is 4006131848021. The next prime is 4006131848071. The reversal of 4006131848048 is 8408481316004.

It is a super-2 number, since 2×40061318480482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4006131847993 and 4006131848011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14862863 + ... + 15130001.

It is an arithmetic number, because the mean of its divisors is an integer number (106779597960).

Almost surely, 24006131848048 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 4006131848048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4271183918400).

4006131848048 is an abundant number, since it is smaller than the sum of its proper divisors (4536235988752).

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

4006131848048 is a wasteful number, since it uses less digits than its factorization.

4006131848048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267910 (or 267904 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 47.

The spelling of 4006131848048 in words is "four trillion, six billion, one hundred thirty-one million, eight hundred forty-eight thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 44 88 139 176 278 556 613 1112 1226 1529 2224 2452 3058 4904 6116 6743 9808 12232 13486 24464 26972 53944 85207 107888 170414 267139 340828 534278 681656 937277 1068556 1363312 1874554 2137112 2938529 3749108 4274224 5877058 7498216 11754116 14996432 23508232 37132321 47016464 74264642 148529284 163756207 297058568 327512414 408455531 594117136 655024828 816911062 1310049656 1633822124 1801318277 2620099312 3267644248 3602636554 6535288496 7205273108 14410546216 22762112773 28821092432 45524225546 91048451092 182096902184 250383240503 364193804368 500766481006 1001532962012 2003065924024 4006131848048