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132653525501623 = 7174161103242013
BaseRepresentation
bin11110001010010111001110…
…010001000000011010110111
3122101200112221021101101220011
4132022113032101000122313
5114341343410012022443
61150044104402321051
736640621011261640
oct3612271621003267
9571615837341804
10132653525501623
11392a405396a165
1212a65185359187
135903234a416b9
1424a867193c6c7
151050951531b9d
hex78a5ce4406b7

132653525501623 has 96 divisors (see below), whose sum is σ = 168775190946432. Its totient is φ = 101693507788800.

The previous prime is 132653525501617. The next prime is 132653525501639. The reversal of 132653525501623 is 326105525356231.

It is not a de Polignac number, because 132653525501623 - 25 = 132653525501591 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132653525501603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3157418965 + ... + 3157460977.

It is an arithmetic number, because the mean of its divisors is an integer number (1758074905692).

Almost surely, 2132653525501623 is an apocalyptic number.

132653525501623 is a deficient number, since it is larger than the sum of its proper divisors (36121665444809).

132653525501623 is a wasteful number, since it uses less digits than its factorization.

132653525501623 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42345 (or 42242 counting only the distinct ones).

The product of its (nonzero) digits is 4860000, while the sum is 49.

The spelling of 132653525501623 in words is "one hundred thirty-two trillion, six hundred fifty-three billion, five hundred twenty-five million, five hundred one thousand, six hundred twenty-three".

Divisors: 1 7 17 41 61 103 119 287 427 697 721 1037 1751 2501 4223 4879 6283 7259 10609 12257 17507 29561 42013 42517 43981 71791 74263 106811 180353 257603 294091 297619 434969 502537 647149 714221 747677 1262471 1722533 1803221 2562793 3044783 4327339 4379251 4530043 4999547 7394473 11001533 12057731 17939551 26533109 29283061 30291373 30654757 43567481 51761311 73564763 77010731 105074513 177420899 185731763 204981427 263967679 304972367 445715917 451062853 514953341 735521591 1241946293 1786266721 1847773753 3016155283 3120011419 3157439971 4487450543 7577170589 10822674839 12503867047 18274352597 21113086981 27188670937 31412153801 53040194123 75758723873 127920468179 183985472263 190320696559 310663994149 462207405929 1114735508417 1287898305841 2174647959043 3235451841503 7803148558919 18950503643089 132653525501623