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132647345325740 = 22579718521527393
BaseRepresentation
bin11110001010010001011101…
…111001100000011010101100
3122101122221222120021221101002
4132022101131321200122230
5114341243230400410430
61150041203231535432
736640311605533310
oct3612213571403254
9571587876257332
10132647345325740
11392a1472366593
1212a63b3b68a578
13590278b53c9ab
1424a8246c2bb40
1510506ddba8845
hex78a45de606ac

132647345325740 has 96 divisors (see below), whose sum is σ = 321653600843904. Its totient is φ = 45007717662720.

The previous prime is 132647345325727. The next prime is 132647345325757. The reversal of 132647345325740 is 47523543746231.

It is a super-2 number, since 2×1326473453257402 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 251251484 + ... + 251778876.

It is an arithmetic number, because the mean of its divisors is an integer number (3350558342124).

Almost surely, 2132647345325740 is an apocalyptic number.

132647345325740 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132647345325740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160826800421952).

132647345325740 is an abundant number, since it is smaller than the sum of its proper divisors (189006255518164).

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

132647345325740 is a wasteful number, since it uses less digits than its factorization.

132647345325740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 546027 (or 546025 counting only the distinct ones).

The product of its (nonzero) digits is 50803200, while the sum is 56.

The spelling of 132647345325740 in words is "one hundred thirty-two trillion, six hundred forty-seven billion, three hundred forty-five million, three hundred twenty-five thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 97 140 194 388 485 679 970 1358 1940 2716 3395 6790 13580 18521 37042 74084 92605 129647 185210 259294 370420 518588 527393 648235 1054786 1296470 1796537 2109572 2592940 2636965 3593074 3691751 5273930 7186148 7383502 8982685 10547860 12575759 14767004 17965370 18458755 25151518 35930740 36917510 50303036 51157121 62878795 73835020 102314242 125757590 204628484 251515180 255785605 358099847 511571210 716199694 1023142420 1432399388 1790499235 3580998470 7161996940 9767845753 19535691506 39071383012 48839228765 68374920271 97678457530 136749840542 195356915060 273499681084 341874601355 683749202710 947481038041 1367498405420 1894962076082 3789924152164 4737405190205 6632367266287 9474810380410 13264734532574 18949620760820 26529469065148 33161836331435 66323672662870 132647345325740