Search a number
-
+
42934755601 = 192417379503
BaseRepresentation
bin100111111111000111…
…000110000100010001
311002211012022120100101
4213333013012010101
51200412244134401
631420212452401
73046651254403
oct477707060421
9132735276311
1042934755601
11172326063a1
1283a291a101
1340830a1a3a
14211426cb73
1511b448e101
hex9ff1c6111

42934755601 has 48 divisors (see below), whose sum is σ = 47744847360. Its totient is φ = 38567093760.

The previous prime is 42934755599. The next prime is 42934755607. The reversal of 42934755601 is 10655743924.

It is a happy number.

42934755601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 42934755601 - 21 = 42934755599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (42934755607) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85357116 + ... + 85357618.

It is an arithmetic number, because the mean of its divisors is an integer number (994684320).

Almost surely, 242934755601 is an apocalyptic number.

42934755601 is a gapful number since it is divisible by the number (41) formed by its first and last digit.

It is an amenable number.

42934755601 is a deficient number, since it is larger than the sum of its proper divisors (4810091759).

42934755601 is a wasteful number, since it uses less digits than its factorization.

42934755601 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 734 (or 715 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 46.

The spelling of 42934755601 in words is "forty-two billion, nine hundred thirty-four million, seven hundred fifty-five thousand, six hundred one".

Divisors: 1 19 41 73 79 361 503 779 1387 1501 2993 3239 5767 9557 14801 20623 26353 28519 36719 39737 56867 61541 109573 181583 236447 391837 697661 755003 1080473 1169279 1505479 1629217 2081887 2900801 4492493 7444903 13255559 14345057 28604101 30955123 55115219 85357367 118932841 543477919 588147337 1047189161 2259723979 42934755601