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202640640060 = 223547214133563
BaseRepresentation
bin1011110010111001010…
…0101100100000111100
3201101001101010002200010
42330232110230200330
511310002000440220
6233031500103220
720432424010035
oct2745624544074
9641041102603
10202640640060
1178a373a4161
1233333b34b10
13161554210a1
149b44aa1a8c
1554101d11e0
hex2f2e52c83c

202640640060 has 96 divisors (see below), whose sum is σ = 579753925632. Its totient is φ = 52861492480.

The previous prime is 202640640043. The next prime is 202640640077. The reversal of 202640640060 is 60046046202.

202640640060 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (202640640043) and next prime (202640640077).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 6020839 + ... + 6054401.

It is an arithmetic number, because the mean of its divisors is an integer number (6039103392).

Almost surely, 2202640640060 is an apocalyptic number.

202640640060 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202640640060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289876962816).

202640640060 is an abundant number, since it is smaller than the sum of its proper divisors (377113285572).

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

202640640060 is a wasteful number, since it uses less digits than its factorization.

202640640060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35763 (or 35761 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 202640640060 its reverse (60046046202), we get a palindrome (262686686262).

The spelling of 202640640060 in words is "two hundred two billion, six hundred forty million, six hundred forty thousand, sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 47 60 94 141 188 235 282 470 564 705 940 1410 2141 2820 4282 6423 8564 10705 12846 21410 25692 32115 33563 42820 64230 67126 100627 100689 128460 134252 167815 201254 201378 301881 335630 402508 402756 503135 503445 603762 671260 1006270 1006890 1207524 1509405 1577461 2012540 2013780 3018810 3154922 4732383 6037620 6309844 7887305 9464766 15774610 18929532 23661915 31549220 47323830 71858383 94647660 143716766 215575149 287433532 359291915 431150298 718583830 862300596 1077875745 1437167660 2155751490 3377344001 4311502980 6754688002 10132032003 13509376004 16886720005 20264064006 33773440010 40528128012 50660160015 67546880020 101320320030 202640640060