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47445075744 = 25311219321163
BaseRepresentation
bin101100001011111100…
…100110011100100000
311112110112021120102120
4230023330212130200
51234131414410434
633443532344240
73266506326663
oct541374463440
9145415246376
1047445075744
1119137565700
129241315080
13462164ca21
1424212a36da
15137a41a349
hexb0bf26720

47445075744 has 144 divisors (see below), whose sum is σ = 137610529056. Its totient is φ = 14302126080.

The previous prime is 47445075739. The next prime is 47445075757. The reversal of 47445075744 is 44757054474.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2231307 + ... + 2252469.

It is an arithmetic number, because the mean of its divisors is an integer number (955628674).

Almost surely, 247445075744 is an apocalyptic number.

47445075744 is a gapful number since it is divisible by the number (44) 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 47445075744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68805264528).

47445075744 is an abundant number, since it is smaller than the sum of its proper divisors (90165453312).

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

47445075744 is a wasteful number, since it uses less digits than its factorization.

47445075744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21391 (or 21372 counting only the distinct ones).

The product of its (nonzero) digits is 8780800, while the sum is 51.

The spelling of 47445075744 in words is "forty-seven billion, four hundred forty-five million, seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 121 132 176 193 242 264 352 363 386 484 528 579 726 772 968 1056 1158 1452 1544 1936 2123 2316 2904 3088 3872 4246 4632 5808 6176 6369 8492 9264 11616 12738 16984 18528 21163 23353 25476 33968 42326 46706 50952 63489 67936 70059 84652 93412 101904 126978 140118 169304 186824 203808 232793 253956 280236 338608 373648 465586 507912 560472 677216 698379 747296 931172 1015824 1120944 1396758 1862344 2031648 2241888 2560723 2793516 3724688 4084459 5121446 5587032 7449376 7682169 8168918 10242892 11174064 12253377 15364338 16337836 20485784 22348128 24506754 30728676 32675672 40971568 44929049 49013508 61457352 65351344 81943136 89858098 98027016 122914704 130702688 134787147 179716196 196054032 245829408 269574294 359432392 392108064 494219539 539148588 718864784 988439078 1078297176 1437729568 1482658617 1976878156 2156594352 2965317234 3953756312 4313188704 5930634468 7907512624 11861268936 15815025248 23722537872 47445075744