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47023836800 = 275243341743
BaseRepresentation
bin101011110010110101…
…101100111010000000
311111101011122102020012
4223302311230322000
51232301100234200
633334044004052
73253203006053
oct536265547200
9144334572205
1047023836800
1118a40803646
129144230628
1345852b3105
1423c1370a9a
15135345da35
hexaf2d6ce80

47023836800 has 96 divisors (see below), whose sum is σ = 118865398080. Its totient is φ = 18372049920.

The previous prime is 47023836781. The next prime is 47023836841. The reversal of 47023836800 is 863832074.

47023836800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×470238368002 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33272 + ... + 308471.

It is an arithmetic number, because the mean of its divisors is an integer number (1238181230).

Almost surely, 247023836800 is an apocalyptic number.

47023836800 is a gapful number since it is divisible by the number (40) 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 47023836800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59432699040).

47023836800 is an abundant number, since it is smaller than the sum of its proper divisors (71841561280).

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

47023836800 is a wasteful number, since it uses less digits than its factorization.

47023836800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 341810 (or 341793 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 47023836800 in words is "forty-seven billion, twenty-three million, eight hundred thirty-six thousand, eight hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 43 50 64 80 86 100 128 160 172 200 215 320 344 400 430 640 688 800 860 1075 1376 1600 1720 2150 2752 3200 3440 4300 5504 6880 8600 13760 17200 27520 34400 68800 137600 341743 683486 1366972 1708715 2733944 3417430 5467888 6834860 8543575 10935776 13669720 14694949 17087150 21871552 27339440 29389898 34174300 43743104 54678880 58779796 68348600 73474745 109357760 117559592 136697200 146949490 218715520 235119184 273394400 293898980 367373725 470238368 546788800 587797960 734747450 940476736 1093577600 1175595920 1469494900 1880953472 2351191840 2938989800 4702383680 5877979600 9404767360 11755959200 23511918400 47023836800