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4004012196 = 22331916311971
BaseRepresentation
bin1110111010101000…
…0110000010100100
3101100001020220011000
43232222012002210
531200011342241
61501151513300
7201136353642
oct35652060244
911301226130
104004012196
111775184698
12938b28830
134ba6c79b2
1429daba192
151867b8eb6
hexeea860a4

4004012196 has 96 divisors (see below), whose sum is σ = 10995084800. Its totient is φ = 1256562720.

The previous prime is 4004012183. The next prime is 4004012197. The reversal of 4004012196 is 6912104004.

4004012196 is a `hidden beast` number, since 40 + 0 + 401 + 219 + 6 = 666.

It is a super-2 number, since 2×40040121962 = 32064227331433484832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (4004012197) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 328491 + ... + 340461.

Almost surely, 24004012196 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 4004012196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5497542400).

4004012196 is an abundant number, since it is smaller than the sum of its proper divisors (6991072604).

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

4004012196 is a wasteful number, since it uses less digits than its factorization.

4004012196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12166 (or 12158 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 4004012196 is about 63277.2644478252. The cubic root of 4004012196 is about 1587.9316216245.

The spelling of 4004012196 in words is "four billion, four million, twelve thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 163 171 228 326 342 489 513 652 684 978 1026 1467 1956 2052 2934 3097 4401 5868 6194 8802 9291 11971 12388 17604 18582 23942 27873 35913 37164 47884 55746 71826 83619 107739 111492 143652 167238 215478 227449 323217 334476 430956 454898 646434 682347 909796 1292868 1364694 1951273 2047041 2729388 3902546 4094082 5853819 6141123 7805092 8188164 11707638 12282246 17561457 23415276 24564492 35122914 37074187 52684371 70245828 74148374 105368742 111222561 148296748 210737484 222445122 333667683 444890244 667335366 1001003049 1334670732 2002006098 4004012196