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47145531664 = 24711151253427
BaseRepresentation
bin101011111010000101…
…111011100100010000
311111200122122011012101
4223322011323210100
51233023224003124
633354112210144
73256211256430
oct537205734420
9144618564171
1047145531664
1118aa3472810
129178b39954
1345a45815ca
1423d35ac2c0
15135de9b644
hexafa17b910

47145531664 has 80 divisors (see below), whose sum is σ = 114638662656. Its totient is φ = 18246672000.

The previous prime is 47145531647. The next prime is 47145531679. The reversal of 47145531664 is 46613554174.

It is a happy number.

47145531664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59319 + ... + 312745.

Almost surely, 247145531664 is an apocalyptic number.

47145531664 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 47145531664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57319331328).

47145531664 is an abundant number, since it is smaller than the sum of its proper divisors (67493130992).

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

47145531664 is a wasteful number, since it uses less digits than its factorization.

47145531664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 253604 (or 253598 counting only the distinct ones).

The product of its digits is 1209600, while the sum is 46.

The spelling of 47145531664 in words is "forty-seven billion, one hundred forty-five million, five hundred thirty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 44 56 77 88 112 151 154 176 302 308 604 616 1057 1208 1232 1661 2114 2416 3322 4228 6644 8456 11627 13288 16912 23254 26576 46508 93016 186032 253427 506854 1013708 1773989 2027416 2787697 3547978 4054832 5575394 7095956 11150788 14191912 19513879 22301576 28383824 38267477 39027758 44603152 76534954 78055516 153069908 156111032 267872339 306139816 312222064 420942247 535744678 612279632 841884494 1071489356 1683768988 2142978712 2946595729 3367537976 4285957424 5893191458 6735075952 11786382916 23572765832 47145531664