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72148959669 = 32943106318143
BaseRepresentation
bin100001100110001101…
…0011100000110110101
320220020011222220100110
41003030122130012311
52140230113202134
653051134333233
75132630016123
oct1031432340665
9226204886313
1072148959669
11286642302a6
1211b9665a219
136a5a718217
1436c61a8913
151d240e97e9
hex10cc69c1b5

72148959669 has 32 divisors (see below), whose sum is σ = 101931540480. Its totient is φ = 45315523008.

The previous prime is 72148959653. The next prime is 72148959683. The reversal of 72148959669 is 96695984127.

It is not a de Polignac number, because 72148959669 - 24 = 72148959653 is a prime.

It is a super-2 number, since 2×721489596692 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (72148959689) 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 31 ways as a sum of consecutive naturals, for example, 3967612 + ... + 3985754.

It is an arithmetic number, because the mean of its divisors is an integer number (3185360640).

Almost surely, 272148959669 is an apocalyptic number.

It is an amenable number.

72148959669 is a deficient number, since it is larger than the sum of its proper divisors (29782580811).

72148959669 is a wasteful number, since it uses less digits than its factorization.

72148959669 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19281.

The product of its digits is 58786560, while the sum is 66.

The spelling of 72148959669 in words is "seventy-two billion, one hundred forty-eight million, nine hundred fifty-nine thousand, six hundred sixty-nine".

Divisors: 1 3 29 43 87 129 1063 1247 3189 3741 18143 30827 45709 54429 92481 137127 526147 780149 1325561 1578441 2340447 3976683 19286009 22624321 57858027 67872963 559294261 829298387 1677882783 2487895161 24049653223 72148959669