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47131111760 = 2458310766337
BaseRepresentation
bin101011111001001110…
…111011000101010000
311111122122111112210212
4223321032323011100
51233011031034020
633352435143252
73255644561045
oct537116730520
9144578445725
1047131111760
1118a96313937
129174144b28
1345a15a3015
1423d16d71cc
15135ca9dcc5
hexaf93bb150

47131111760 has 80 divisors (see below), whose sum is σ = 111938210496. Its totient is φ = 18450960384.

The previous prime is 47131111757. The next prime is 47131111813. The reversal of 47131111760 is 6711113174.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×471311117602 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677312 + ... + 743648.

Almost surely, 247131111760 is an apocalyptic number.

47131111760 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 47131111760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55969105248).

47131111760 is an abundant number, since it is smaller than the sum of its proper divisors (64807098736).

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

47131111760 is a wasteful number, since it uses less digits than its factorization.

47131111760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66540 (or 66534 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 32.

The spelling of 47131111760 in words is "forty-seven billion, one hundred thirty-one million, one hundred eleven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 83 107 166 214 332 415 428 535 664 830 856 1070 1328 1660 1712 2140 3320 4280 6640 8560 8881 17762 35524 44405 66337 71048 88810 132674 142096 177620 265348 331685 355240 530696 663370 710480 1061392 1326740 2653480 5306960 5505971 7098059 11011942 14196118 22023884 27529855 28392236 35490295 44047768 55059710 56784472 70980590 88095536 110119420 113568944 141961180 220238840 283922360 440477680 567844720 589138897 1178277794 2356555588 2945694485 4713111176 5891388970 9426222352 11782777940 23565555880 47131111760