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42745454724 = 223710131316097
BaseRepresentation
bin100111110011110100…
…111110000010000100
311002100000010002100210
4213303310332002010
51200020314022344
631345331235420
73042162240660
oct476364760204
9132300102323
1042745454724
1117145770895
12834b448b70
134052ac259b
1420d70738a0
1511a2a49db9
hex9f3d3e084

42745454724 has 96 divisors (see below), whose sum is σ = 115491430656. Its totient is φ = 12052684800.

The previous prime is 42745454707. The next prime is 42745454743.

It is a happy number.

42745454724 is nontrivially palindromic in base 10.

42745454724 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2647444 + ... + 2663540.

It is an arithmetic number, because the mean of its divisors is an integer number (1203035736).

Almost surely, 242745454724 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 42745454724, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57745715328).

42745454724 is an abundant number, since it is smaller than the sum of its proper divisors (72745975932).

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

42745454724 is a wasteful number, since it uses less digits than its factorization.

42745454724 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16525 (or 16523 counting only the distinct ones).

The product of its digits is 5017600, while the sum is 48.

The spelling of 42745454724 in words is "forty-two billion, seven hundred forty-five million, four hundred fifty-four thousand, seven hundred twenty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 313 404 606 626 707 939 1212 1252 1414 1878 2121 2191 2828 3756 4242 4382 6573 8484 8764 13146 16097 26292 31613 32194 48291 63226 64388 94839 96582 112679 126452 189678 193164 221291 225358 338037 379356 442582 450716 663873 676074 885164 1327746 1352148 1625797 2655492 3251594 4877391 5038361 6503188 9754782 10076722 11380579 15115083 19509564 20153444 22761158 30230166 34141737 35268527 45522316 60460332 68283474 70537054 105805581 136566948 141074108 211611162 423222324 508874461 1017748922 1526623383 2035497844 3053246766 3562121227 6106493532 7124242454 10686363681 14248484908 21372727362 42745454724