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268065377442 = 23260129638363
BaseRepresentation
bin1111100110100111110…
…0010000110010100010
3221121220221022010010200
43321221330100302202
513342444214034232
6323051511210030
725236624053442
oct3715174206242
9847827263120
10268065377442
11a375aa0a755
1243b52676916
131c3809ccc45
14cd8dbba122
156e8dcd877c
hex3e69f10ca2

268065377442 has 48 divisors (see below), whose sum is σ = 582040656288. Its totient is φ = 89165678400.

The previous prime is 268065377441. The next prime is 268065377479. The reversal of 268065377442 is 244773560862.

268065377442 is a `hidden beast` number, since 2 + 6 + 80 + 6 + 53 + 77 + 442 = 666.

268065377442 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268065377441) 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, 32049553 + ... + 32057915.

It is an arithmetic number, because the mean of its divisors is an integer number (12125847006).

Almost surely, 2268065377442 is an apocalyptic number.

268065377442 is an abundant number, since it is smaller than the sum of its proper divisors (313975278846).

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

268065377442 is a wasteful number, since it uses less digits than its factorization.

268065377442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11935 (or 11932 counting only the distinct ones).

The product of its (nonzero) digits is 13547520, while the sum is 54.

The spelling of 268065377442 in words is "two hundred sixty-eight billion, sixty-five million, three hundred seventy-seven thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 601 1202 1803 2963 3606 5409 5926 8363 8889 10818 16726 17778 25089 26667 50178 53334 75267 150534 1780763 3561526 5026163 5342289 10052326 10684578 15078489 16026867 24779569 30156978 32053734 45235467 49559138 74338707 90470934 148677414 223016121 446032242 14892520969 29785041938 44677562907 89355125814 134032688721 268065377442