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72530756271354 = 231091063213748821
BaseRepresentation
bin10000011111011101100001…
…111101100111110011111010
3100111210212120010000210122110
4100133131201331213303322
534001320442101140404
6414132100333233150
721164113520015163
oct2037354175476372
9314725503023573
1072530756271354
1121124137051287
128174b436327b6
13316180c363074
1413ca7161a876a
1585ba5881ab89
hex41f761f67cfa

72530756271354 has 64 divisors (see below), whose sum is σ = 146601639233280. Its totient is φ = 23920887651840.

The previous prime is 72530756271353. The next prime is 72530756271427. The reversal of 72530756271354 is 45317265703527.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 72530756271294 and 72530756271303.

It is not an unprimeable number, because it can be changed into a prime (72530756271353) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1485622264 + ... + 1485671084.

It is an arithmetic number, because the mean of its divisors is an integer number (2290650613020).

Almost surely, 272530756271354 is an apocalyptic number.

72530756271354 is an abundant number, since it is smaller than the sum of its proper divisors (74070882961926).

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

72530756271354 is a wasteful number, since it uses less digits than its factorization.

72530756271354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52135.

The product of its (nonzero) digits is 37044000, while the sum is 57.

The spelling of 72530756271354 in words is "seventy-two trillion, five hundred thirty billion, seven hundred fifty-six million, two hundred seventy-one thousand, three hundred fifty-four".

Divisors: 1 2 3 6 109 218 327 654 1063 2126 2137 3189 4274 6378 6411 12822 48821 97642 115867 146463 231734 232933 292926 347601 465866 695202 698799 1397598 2271631 4543262 5321489 6814893 10642978 13629786 15964467 31928934 51896723 103793446 104330477 155690169 208660954 247607779 311380338 312991431 495215558 625982862 742823337 1485646674 5656742807 11313485614 11372021993 16970228421 22744043986 33940456842 34116065979 68232131958 110903297051 221806594102 332709891153 665419782306 12088459378559 24176918757118 36265378135677 72530756271354