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4101426612 = 2232477134141
BaseRepresentation
bin1111010001110110…
…1100110110110100
3101120211120001121100
43310131230312310
531344431122422
61514551450100
7203431356663
oct36435546664
911524501540
104101426612
11181516a578
12965686930
1350494466a
142ac9d6dda
1519010c7ac
hexf476cdb4

4101426612 has 72 divisors (see below), whose sum is σ = 10737522432. Its totient is φ = 1319169600.

The previous prime is 4101426607. The next prime is 4101426619. The reversal of 4101426612 is 2166241014.

4101426612 is a `hidden beast` number, since 4 + 1 + 0 + 1 + 42 + 6 + 612 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4101426619) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 103062 + ... + 137202.

It is an arithmetic number, because the mean of its divisors is an integer number (149132256).

Almost surely, 24101426612 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 4101426612, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5368761216).

4101426612 is an abundant number, since it is smaller than the sum of its proper divisors (6636095820).

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

4101426612 is a wasteful number, since it uses less digits than its factorization.

4101426612 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34269 (or 34264 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 4101426612 is about 64042.3813735873. The cubic root of 4101426612 is about 1600.7062782902.

Adding to 4101426612 its reverse (2166241014), we get a palindrome (6267667626).

The spelling of 4101426612 in words is "four billion, one hundred one million, four hundred twenty-six thousand, six hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 71 94 141 142 188 213 282 284 423 426 564 639 846 852 1278 1692 2556 3337 6674 10011 13348 20022 30033 34141 40044 60066 68282 102423 120132 136564 204846 307269 409692 614538 1229076 1604627 2424011 3209254 4813881 4848022 6418508 7272033 9627762 9696044 14441643 14544066 19255524 21816099 28883286 29088132 43632198 57766572 87264396 113928517 227857034 341785551 455714068 683571102 1025356653 1367142204 2050713306 4101426612