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3795776012 = 2272923919559
BaseRepresentation
bin1110001000111110…
…1111001000001100
3100210112102101210202
43202033233020030
530233204313022
61424352353032
7163030364240
oct34217571014
910715371722
103795776012
111678686776
1289b245778
13486518912
14280192420
15173384592
hexe23ef20c

3795776012 has 48 divisors (see below), whose sum is σ = 7886592000. Its totient is φ = 1564014144.

The previous prime is 3795776011. The next prime is 3795776021. The reversal of 3795776012 is 2106775973.

3795776012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×37957760123 (a number of 30 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (3795776011) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 184289 + ... + 203847.

It is an arithmetic number, because the mean of its divisors is an integer number (164304000).

Almost surely, 23795776012 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 3795776012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3943296000).

3795776012 is an abundant number, since it is smaller than the sum of its proper divisors (4090815988).

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

3795776012 is a wasteful number, since it uses less digits than its factorization.

3795776012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19838 (or 19836 counting only the distinct ones).

The product of its (nonzero) digits is 555660, while the sum is 47.

The square root of 3795776012 is about 61609.8694366414. The cubic root of 3795776012 is about 1559.9123350913.

The spelling of 3795776012 in words is "three billion, seven hundred ninety-five million, seven hundred seventy-six thousand, twelve".

Divisors: 1 2 4 7 14 28 29 58 116 203 239 406 478 812 956 1673 3346 6692 6931 13862 19559 27724 39118 48517 78236 97034 136913 194068 273826 547652 567211 1134422 2268844 3970477 4674601 7940954 9349202 15881908 18698404 32722207 65444414 130888828 135563429 271126858 542253716 948944003 1897888006 3795776012