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47400256656 = 2432181432
BaseRepresentation
bin101100001001010001…
…101000010010010000
311112100101221112012100
4230021101220102100
51234033431203111
633435252000400
73265423351044
oct541121502220
9145311845170
1047400256656
1119114233435
12922a300100
13461528985c
142419358024
151376515756
hexb09468490

47400256656 has 45 divisors (see below), whose sum is σ = 132662196979. Its totient is φ = 15799214688.

The previous prime is 47400256633. The next prime is 47400256667. The reversal of 47400256656 is 65665200474.

The square root of 47400256656 is 217716.

It is a perfect power (a square), and thus also a powerful number.

47400256656 is a `hidden beast` number, since 47 + 40 + 0 + 2 + 566 + 5 + 6 = 666.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2603521 + ... + 2621663.

Almost surely, 247400256656 is an apocalyptic number.

47400256656 is the 217716-th square number.

It is an amenable number.

47400256656 is an abundant number, since it is smaller than the sum of its proper divisors (85261940323).

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

47400256656 is an frugal number, since it uses more digits than its factorization.

47400256656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36300 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 45.

The spelling of 47400256656 in words is "forty-seven billion, four hundred million, two hundred fifty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 18143 36286 54429 72572 108858 145144 163287 217716 290288 326574 435432 653148 870864 1306296 2612592 329168449 658336898 987505347 1316673796 1975010694 2633347592 2962516041 3950021388 5266695184 5925032082 7900042776 11850064164 15800085552 23700128328 47400256656