Search a number
-
+
47480793984 = 2732133170459
BaseRepresentation
bin101100001110000100…
…110110101110000000
311112120000111020122100
4230032010312232000
51234220040401414
633451250110400
73300422042541
oct541604665600
9145500436570
1047480793984
1119155741308
12925127b400
134628b77690
142425d204c8
15137d623609
hexb0e136b80

47480793984 has 96 divisors (see below), whose sum is σ = 147141048600. Its totient is φ = 14609470464.

The previous prime is 47480793959. The next prime is 47480793991. The reversal of 47480793984 is 48939708474.

47480793984 is a `hidden beast` number, since 4 + 7 + 480 + 79 + 3 + 9 + 84 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1570254 + ... + 1600205.

Almost surely, 247480793984 is an apocalyptic number.

It is an amenable number.

47480793984 is an abundant number, since it is smaller than the sum of its proper divisors (99660254616).

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

47480793984 is a wasteful number, since it uses less digits than its factorization.

47480793984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3170492 (or 3170477 counting only the distinct ones).

The product of its (nonzero) digits is 48771072, while the sum is 63.

The spelling of 47480793984 in words is "forty-seven billion, four hundred eighty million, seven hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 288 312 384 416 468 576 624 832 936 1152 1248 1664 1872 2496 3744 4992 7488 14976 3170459 6340918 9511377 12681836 19022754 25363672 28534131 38045508 41215967 50727344 57068262 76091016 82431934 101454688 114136524 123647901 152182032 164863868 202909376 228273048 247295802 304364064 329727736 370943703 405818752 456546096 494591604 608728128 659455472 741887406 913092192 989183208 1217456256 1318910944 1483774812 1826184384 1978366416 2637821888 2967549624 3652368768 3956732832 5275643776 5935099248 7913465664 11870198496 15826931328 23740396992 47480793984