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48316326975 = 32527371018209
BaseRepresentation
bin101100111111111000…
…001010010000111111
311121201020200201102200
4230333320022100333
51242422434430400
634110214322543
73330216001020
oct547770122077
9147636621380
1048316326975
1119544341644
129445059453
13472ccbbab7
1424a4c98c47
1513cbb68b00
hexb3fe0a43f

48316326975 has 144 divisors (see below), whose sum is σ = 102593999040. Its totient is φ = 21275136000.

The previous prime is 48316326953. The next prime is 48316327013. The reversal of 48316326975 is 57962361384.

48316326975 is a `hidden beast` number, since 483 + 1 + 6 + 32 + 69 + 75 = 666.

It is not a de Polignac number, because 48316326975 - 27 = 48316326847 is a prime.

It is a super-2 number, since 2×483163269752 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5881671 + ... + 5889879.

Almost surely, 248316326975 is an apocalyptic number.

48316326975 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

48316326975 is an abundant number, since it is smaller than the sum of its proper divisors (54277672065).

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

48316326975 is a wasteful number, since it uses less digits than its factorization.

48316326975 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8370 (or 8362 counting only the distinct ones).

The product of its digits is 6531840, while the sum is 54.

The spelling of 48316326975 in words is "forty-eight billion, three hundred sixteen million, three hundred twenty-six thousand, nine hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 35 37 45 63 75 101 105 111 175 185 225 259 303 315 333 505 525 555 707 777 909 925 1295 1515 1575 1665 2121 2331 2525 2775 3535 3737 3885 4545 6363 6475 7575 8209 8325 10605 11211 11655 17675 18685 19425 22725 24627 26159 31815 33633 41045 53025 56055 57463 58275 73881 78477 93425 123135 130795 159075 168165 172389 205225 235431 280275 287315 303733 369405 392385 517167 615675 653975 829109 840825 861945 911199 1177155 1436575 1518665 1847025 1961925 2126131 2487327 2585835 2733597 4145545 4309725 4555995 5803763 5885775 6378393 7461981 7593325 10630655 12436635 12929175 13667985 17411289 19135179 20727725 22779975 29018815 30677033 31891965 37309905 52233867 53153275 62183175 68339925 87056445 92031099 95675895 145094075 153385165 159459825 186549525 214739231 261169335 276093297 435282225 460155495 478379475 644217693 766925825 1073696155 1305846675 1380466485 1932653079 2300777475 3221088465 5368480775 6902332425 9663265395 16105442325 48316326975