Search a number
-
+
42746641121296 = 2472771377857179
BaseRepresentation
bin10011011100000101110100…
…10111000000000000010000
312121100112112220202201021101
421232002322113000000100
521100330110111340141
6230525311423434144
712001225421261560
oct1156027227000020
9177315486681241
1042746641121296
1112690826568292
124964703755954
131ab0cb61ac998
14a7ad3c858da0
154e1e11813531
hex26e0ba5c0010

42746641121296 has 40 divisors (see below), whose sum is σ = 94994985417920. Its totient is φ = 18253851894144.

The previous prime is 42746641121281. The next prime is 42746641121297. The reversal of 42746641121296 is 69212114664724.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (42746641121297) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 688897566 + ... + 688959613.

It is an arithmetic number, because the mean of its divisors is an integer number (2374874635448).

Almost surely, 242746641121296 is an apocalyptic number.

It is an amenable number.

42746641121296 is an abundant number, since it is smaller than the sum of its proper divisors (52248344296624).

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

42746641121296 is a wasteful number, since it uses less digits than its factorization.

42746641121296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377857471 (or 1377857465 counting only the distinct ones).

The product of its digits is 6967296, while the sum is 55.

The spelling of 42746641121296 in words is "forty-two trillion, seven hundred forty-six billion, six hundred forty-one million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 56 112 277 554 1108 1939 2216 3878 4432 7756 15512 31024 1377857179 2755714358 5511428716 9645000253 11022857432 19290000506 22045714864 38580001012 77160002024 154320004048 381666438583 763332877166 1526665754332 2671665070081 3053331508664 5343330140162 6106663017328 10686660280324 21373320560648 42746641121296