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42083795916 = 2234622120879
BaseRepresentation
bin100111001100011000…
…111100001111001100
311000121220002100010000
4213030120330033030
51142141422432131
631155533444300
73016606235361
oct471430741714
9130556070100
1042083795916
1116936229828
1281a5940690
133c789b89b6
14207323a468
1511648ecce6
hex9cc63c3cc

42083795916 has 60 divisors (see below), whose sum is σ = 110038309920. Its totient is φ = 14025005280.

The previous prime is 42083795909. The next prime is 42083795969. The reversal of 42083795916 is 61959738024.

42083795916 is a `hidden beast` number, since 4 + 208 + 379 + 59 + 16 = 666.

42083795916 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2005165 + ... + 2026043.

It is an arithmetic number, because the mean of its divisors is an integer number (1833971832).

It is a 1-persistent number, because it is pandigital, but 2⋅42083795916 = 84167591832 is not.

Almost surely, 242083795916 is an apocalyptic number.

It is an amenable number.

42083795916 is an abundant number, since it is smaller than the sum of its proper divisors (67954514004).

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

42083795916 is a wasteful number, since it uses less digits than its factorization.

42083795916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27116 (or 27105 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 42083795916 in words is "forty-two billion, eighty-three million, seven hundred ninety-five thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 6221 12442 18663 20879 24884 37326 41758 55989 62637 74652 83516 111978 125274 167967 187911 223956 250548 335934 375822 503901 563733 671868 751644 1007802 1127466 1691199 2015604 2254932 3382398 6764796 129888259 259776518 389664777 519553036 779329554 1168994331 1558659108 2337988662 3506982993 4675977324 7013965986 10520948979 14027931972 21041897958 42083795916