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47145594343744 = 2613233097179549
BaseRepresentation
bin10101011100000111100000…
…11001110101000101000000
320011221002000112022222100101
422232003300121311011000
522134413134122444434
6244134215333532144
712634104530601301
oct1256036031650500
9204832015288311
1047145594343744
1114027374a18836
1253551701a4054
13203ca6c7abb40
14b8dc04d147a8
1556b572345b14
hex2ae0f0675140

47145594343744 has 112 divisors (see below), whose sum is σ = 105136237987200. Its totient is φ = 20812505978880.

The previous prime is 47145594343717. The next prime is 47145594343853. The reversal of 47145594343744 is 44734349554174.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 592621282 + ... + 592700830.

It is an arithmetic number, because the mean of its divisors is an integer number (938716410600).

Almost surely, 247145594343744 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 47145594343744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52568118993600).

47145594343744 is an abundant number, since it is smaller than the sum of its proper divisors (57990643643456).

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

47145594343744 is a wasteful number, since it uses less digits than its factorization.

47145594343744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110568 (or 110558 counting only the distinct ones).

The product of its digits is 406425600, while the sum is 64.

The spelling of 47145594343744 in words is "forty-seven trillion, one hundred forty-five billion, five hundred ninety-four million, three hundred forty-three thousand, seven hundred forty-four".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 64 92 104 184 208 299 368 416 598 736 832 1196 1472 2392 4784 9568 19136 30971 61942 79549 123884 159098 247768 318196 402623 495536 636392 712333 805246 991072 1034137 1272784 1424666 1610492 1829627 1982144 2068274 2545568 2849332 3220984 3659254 4136548 5091136 5698664 6441968 7318508 8273096 9260329 11397328 12883936 14637016 16546192 18520658 22794656 23785151 25767872 29274032 33092384 37041316 45589312 47570302 58548064 66184768 74082632 95140604 117096128 148165264 190281208 296330528 380562416 592661056 761124832 1522249664 2463712079 4927424158 9854848316 19709696632 32028257027 39419393264 56665377817 64056514054 78838786528 113330755634 128113028108 157677573056 226661511268 256226056216 453323022536 512452112432 736649911621 906646045072 1024904224864 1473299823242 1813292090144 2049808449728 2946599646484 3626584180288 5893199292968 11786398585936 23572797171872 47145594343744