Search a number
-
+
49934712384 = 263331791159
BaseRepresentation
bin101110100000010101…
…110011111001000000
311202220000222012212000
4232200111303321000
51304231241244014
634534550104000
73415300023564
oct564025637100
9152800865760
1049934712384
111a1a4930547
12981704b000
13492a3910bb
1425b9bb76a4
151473c9a509
hexba0573e40

49934712384 has 112 divisors (see below), whose sum is σ = 147263510400. Its totient is φ = 16592214528.

The previous prime is 49934712379. The next prime is 49934712433. The reversal of 49934712384 is 48321743994.

49934712384 is a `hidden beast` number, since 4 + 9 + 93 + 471 + 2 + 3 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 49934712384.

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, 502197 + ... + 593355.

Almost surely, 249934712384 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 49934712384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73631755200).

49934712384 is an abundant number, since it is smaller than the sum of its proper divisors (97328798016).

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

49934712384 is a wasteful number, since it uses less digits than its factorization.

49934712384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91497 (or 91481 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 54.

The spelling of 49934712384 in words is "forty-nine billion, nine hundred thirty-four million, seven hundred twelve thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 317 432 576 634 864 951 1268 1728 1902 2536 2853 3804 5072 5706 7608 8559 10144 11412 15216 17118 20288 22824 30432 34236 45648 60864 68472 91159 91296 136944 182318 182592 273477 273888 364636 546954 547776 729272 820431 1093908 1458544 1640862 2187816 2461293 2917088 3281724 4375632 4922586 5834176 6563448 8751264 9845172 13126896 17502528 19690344 26253792 28897403 39380688 52507584 57794806 78761376 86692209 115589612 157522752 173384418 231179224 260076627 346768836 462358448 520153254 693537672 780229881 924716896 1040306508 1387075344 1560459762 1849433792 2080613016 2774150688 3120919524 4161226032 5548301376 6241839048 8322452064 12483678096 16644904128 24967356192 49934712384