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47642227712 = 210374329243
BaseRepresentation
bin101100010111101100…
…101011010000000000
311112222021020221002022
4230113230223100000
51240032402241322
633515254141012
73304422153032
oct542754532000
9145867227068
1047642227712
1119228882912
129297351768
13465344a8b1
14243d543c52
15138c8b0942
hexb17b2b400

47642227712 has 88 divisors (see below), whose sum is σ = 100090046496. Its totient is φ = 22637518848.

The previous prime is 47642227697. The next prime is 47642227723. The reversal of 47642227712 is 21772224674.

It is a super-2 number, since 2×476422277122 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1614563 + ... + 1643805.

It is an arithmetic number, because the mean of its divisors is an integer number (1137386892).

Almost surely, 247642227712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47642227712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50045023248).

47642227712 is an abundant number, since it is smaller than the sum of its proper divisors (52447818784).

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

47642227712 is a wasteful number, since it uses less digits than its factorization.

47642227712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29343 (or 29325 counting only the distinct ones).

The product of its digits is 526848, while the sum is 44.

The spelling of 47642227712 in words is "forty-seven billion, six hundred forty-two million, two hundred twenty-seven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 32 37 43 64 74 86 128 148 172 256 296 344 512 592 688 1024 1184 1376 1591 2368 2752 3182 4736 5504 6364 9472 11008 12728 18944 22016 25456 29243 37888 44032 50912 58486 101824 116972 203648 233944 407296 467888 814592 935776 1081991 1257449 1629184 1871552 2163982 2514898 3743104 4327964 5029796 7486208 8655928 10059592 14972416 17311856 20119184 29944832 34623712 40238368 46525613 69247424 80476736 93051226 138494848 160953472 186102452 276989696 321906944 372204904 553979392 643813888 744409808 1107958784 1287627776 1488819616 2977639232 5955278464 11910556928 23821113856 47642227712