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72198202932 = 22335312613243
BaseRepresentation
bin100001100111101011…
…0010010011000110100
320220100121122201102000
41003033112102120310
52140330214443212
653100054015300
75134065412362
oct1031726223064
9226317581360
1072198202932
112868a004509
1211bab047530
136a6799a04b
1436cc946632
151d285c51dc
hex10cf592634

72198202932 has 48 divisors (see below), whose sum is σ = 190712249280. Its totient is φ = 23611989024.

The previous prime is 72198202913. The next prime is 72198202997. The reversal of 72198202932 is 23920289127.

It is a happy number.

It is a super-2 number, since 2×721982029322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 6300898 + ... + 6312345.

It is an arithmetic number, because the mean of its divisors is an integer number (3973171860).

Almost surely, 272198202932 is an apocalyptic number.

It is an amenable number.

72198202932 is an abundant number, since it is smaller than the sum of its proper divisors (118514046348).

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

72198202932 is a wasteful number, since it uses less digits than its factorization.

72198202932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12613309 (or 12613301 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 72198202932 in words is "seventy-two billion, one hundred ninety-eight million, two hundred two thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 106 108 159 212 318 477 636 954 1431 1908 2862 5724 12613243 25226486 37839729 50452972 75679458 113519187 151358916 227038374 340557561 454076748 668501879 681115122 1337003758 1362230244 2005505637 2674007516 4011011274 6016516911 8022022548 12033033822 18049550733 24066067644 36099101466 72198202932