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2002232546592 = 253731424920051
BaseRepresentation
bin11101001000101110010…
…111000001010100100000
321002102010000202222010220
4131020232113001110200
5230301033012442332
64131451332123040
7264441121560165
oct35105627012440
97072100688126
102002232546592
11702162090113
12284067766480
13116a6ac4cb65
146cca11a006c
1537138ec7d2c
hex1d22e5c1520

2002232546592 has 96 divisors (see below), whose sum is σ = 5328498168000. Its totient is φ = 658189209600.

The previous prime is 2002232546579. The next prime is 2002232546599. The reversal of 2002232546592 is 2956452322002.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2002232546599) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 99846967 + ... + 99867017.

It is an arithmetic number, because the mean of its divisors is an integer number (55505189250).

Almost surely, 22002232546592 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 2002232546592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2664249084000).

2002232546592 is an abundant number, since it is smaller than the sum of its proper divisors (3326265621408).

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

2002232546592 is a wasteful number, since it uses less digits than its factorization.

2002232546592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34386 (or 34378 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 2002232546592 its reverse (2956452322002), we get a palindrome (4958684868594).

The spelling of 2002232546592 in words is "two trillion, two billion, two hundred thirty-two million, five hundred forty-six thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 73 96 146 219 292 438 584 876 1168 1752 2336 3504 7008 14249 20051 28498 40102 42747 56996 60153 80204 85494 113992 120306 160408 170988 227984 240612 320816 341976 455968 481224 641632 683952 962448 1040177 1367904 1463723 1924896 2080354 2927446 3120531 4160708 4391169 5854892 6241062 8321416 8782338 11709784 12482124 16642832 17564676 23419568 24964248 33285664 35129352 46839136 49928496 70258704 99856992 140517408 285706699 571413398 857120097 1142826796 1714240194 2285653592 3428480388 4571307184 6856960776 9142614368 13713921552 20856589027 27427843104 41713178054 62569767081 83426356108 125139534162 166852712216 250279068324 333705424432 500558136648 667410848864 1001116273296 2002232546592