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45237744114372 = 22331249335362691
BaseRepresentation
bin10100100100100101110111…
…01010110001101011000100
312221011200112011112111102000
422102102323222301223010
521412133344443124442
6240113533250145300
712346214320324515
oct1222227352615304
9187150464474360
1045237744114372
1113461246230587
1250a7464b82230
131c31b93562784
14b25738a86a0c
15536b0e2ddd4c
hex2924bbab1ac4

45237744114372 has 48 divisors (see below), whose sum is σ = 117376942200000. Its totient is φ = 15067174936320.

The previous prime is 45237744114371. The next prime is 45237744114439. The reversal of 45237744114372 is 27341144773254.

45237744114372 is a `hidden beast` number, since 4 + 5 + 23 + 77 + 441 + 1 + 43 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (45237744114371) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 167546454 + ... + 167816237.

It is an arithmetic number, because the mean of its divisors is an integer number (2445352962500).

Almost surely, 245237744114372 is an apocalyptic number.

It is an amenable number.

45237744114372 is an abundant number, since it is smaller than the sum of its proper divisors (72139198085628).

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

45237744114372 is a wasteful number, since it uses less digits than its factorization.

45237744114372 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 335363953 (or 335363945 counting only the distinct ones).

The product of its digits is 15805440, while the sum is 54.

The spelling of 45237744114372 in words is "forty-five trillion, two hundred thirty-seven billion, seven hundred forty-four million, one hundred fourteen thousand, three hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1249 2498 3747 4996 7494 11241 14988 22482 33723 44964 67446 134892 335362691 670725382 1006088073 1341450764 2012176146 3018264219 4024352292 6036528438 9054792657 12073056876 18109585314 36219170628 418868001059 837736002118 1256604003177 1675472004236 2513208006354 3769812009531 5026416012708 7539624019062 11309436028593 15079248038124 22618872057186 45237744114372