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47078568144 = 2433195735693
BaseRepresentation
bin101011110110000110…
…011111000011010000
311111111222122001112000
4223312012133003100
51232404103140034
633343321034000
73254436140466
oct536606370320
9144458561460
1047078568144
1118a69696063
12915a625900
134593736c1a
1423c873a836
151358170599
hexaf619f0d0

47078568144 has 80 divisors (see below), whose sum is σ = 142245211200. Its totient is φ = 14866913664.

The previous prime is 47078568133. The next prime is 47078568157. The reversal of 47078568144 is 44186587074.

47078568144 is a `hidden beast` number, since 4 + 7 + 0 + 78 + 568 + 1 + 4 + 4 = 666.

47078568144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 2859639 + ... + 2876054.

It is an arithmetic number, because the mean of its divisors is an integer number (1778065140).

Almost surely, 247078568144 is an apocalyptic number.

It is an amenable number.

47078568144 is an abundant number, since it is smaller than the sum of its proper divisors (95166643056).

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

47078568144 is a wasteful number, since it uses less digits than its factorization.

47078568144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5735729 (or 5735717 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 47078568144 in words is "forty-seven billion, seventy-eight million, five hundred sixty-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 36 38 48 54 57 72 76 108 114 144 152 171 216 228 304 342 432 456 513 684 912 1026 1368 2052 2736 4104 8208 5735693 11471386 17207079 22942772 34414158 45885544 51621237 68828316 91771088 103242474 108978167 137656632 154863711 206484948 217956334 275313264 309727422 326934501 412969896 435912668 619454844 653869002 825939792 871825336 980803503 1238909688 1307738004 1743650672 1961607006 2477819376 2615476008 2942410509 3923214012 5230952016 5884821018 7846428024 11769642036 15692856048 23539284072 47078568144