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42832149380501 = 1317401985749033
BaseRepresentation
bin10011011110100101000110…
…00011000111110110010101
312121122201021010122100101112
421233102203003013312111
521103230220220134001
6231032452350304405
712010343406424115
oct1157224303076625
9177581233570345
1042832149380501
1112714015769aa8
1249791a81b8105
131ab909255a870
14a81130d9b045
154e4268683cbb
hex26f4a30c7d95

42832149380501 has 32 divisors (see below), whose sum is σ = 48968041032288. Its totient is φ = 37114321305600.

The previous prime is 42832149380437. The next prime is 42832149380513. The reversal of 42832149380501 is 10508394123824.

42832149380501 = 46277502 + 46277512.

It can be written as a sum of positive squares in 16 ways, for example, as 4444397614276 + 38387751766225 = 2108174^2 + 6195785^2 .

It is a cyclic number.

It is not a de Polignac number, because 42832149380501 - 26 = 42832149380437 is a prime.

It is a super-2 number, since 2×428321493805012 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 42832149380501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42832149380561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 873512681 + ... + 873561713.

It is an arithmetic number, because the mean of its divisors is an integer number (1530251282259).

Almost surely, 242832149380501 is an apocalyptic number.

42832149380501 is the 4627751-st centered square number.

It is an amenable number.

42832149380501 is a deficient number, since it is larger than the sum of its proper divisors (6135891651787).

42832149380501 is a wasteful number, since it uses less digits than its factorization.

42832149380501 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59321.

The product of its (nonzero) digits is 1658880, while the sum is 50.

The spelling of 42832149380501 in words is "forty-two trillion, eight hundred thirty-two billion, one hundred forty-nine million, three hundred eighty thousand, five hundred one".

Divisors: 1 13 17 221 401 5213 6817 9857 49033 88621 128141 167569 637429 833561 2178397 3952657 10836293 19662233 51384541 67195169 255609029 334257961 483318281 873537197 4345353493 6283137653 8216410777 106813340101 193810630681 2519538198853 3294780721577 42832149380501