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268206011632032 = 2536917403905251
BaseRepresentation
bin111100111110111010010100…
…000011001100100110100000
31022011122020121002122012201120
4330332322110003030212200
5240123241402434211112
62350232050224132240
7110331146665412505
oct7476722403144640
91264566532565646
10268206011632032
11785055924a4a21
12260b8156767080
13b68694535cab6
144a333512774ac
1521019c1bb0e8c
hexf3ee940cc9a0

268206011632032 has 48 divisors (see below), whose sum is σ = 704142566400672. Its totient is φ = 89389078688000.

The previous prime is 268206011631979. The next prime is 268206011632043. The reversal of 268206011632032 is 230236110602862.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 201288594 + ... + 202616657.

It is an arithmetic number, because the mean of its divisors is an integer number (14669636800014).

Almost surely, 2268206011632032 is an apocalyptic number.

It is an amenable number.

268206011632032 is an abundant number, since it is smaller than the sum of its proper divisors (435936554768640).

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

268206011632032 is a wasteful number, since it uses less digits than its factorization.

268206011632032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403912181 (or 403912173 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 268206011632032 in words is "two hundred sixty-eight trillion, two hundred six billion, eleven million, six hundred thirty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6917 13834 20751 27668 41502 55336 83004 110672 166008 221344 332016 664032 403905251 807810502 1211715753 1615621004 2423431506 3231242008 4846863012 6462484016 9693726024 12924968032 19387452048 38774904096 2793812621167 5587625242334 8381437863501 11175250484668 16762875727002 22350500969336 33525751454004 44701001938672 67051502908008 89402003877344 134103005816016 268206011632032