Search a number
-
+
49117588704 = 253471266897
BaseRepresentation
bin101101101111101000…
…101110110011100000
311200210002102000220000
4231233220232303200
51301043100314304
634321520220000
73356115421032
oct555750566340
9150702360800
1049117588704
1119915664418
12962946a600
134829cc4072
14253d471c52
15142718e939
hexb6fa2ece0

49117588704 has 120 divisors (see below), whose sum is σ = 146488568688. Its totient is φ = 16141870080.

The previous prime is 49117588673. The next prime is 49117588717. The reversal of 49117588704 is 40788571194.

49117588704 is a `hidden beast` number, since 49 + 1 + 17 + 588 + 7 + 0 + 4 = 666.

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 19 ways as a sum of consecutive naturals, for example, 50584 + ... + 317480.

Almost surely, 249117588704 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 49117588704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73244284344).

49117588704 is an abundant number, since it is smaller than the sum of its proper divisors (97370979984).

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

49117588704 is a wasteful number, since it uses less digits than its factorization.

49117588704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 266990 (or 266973 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 49117588704 in words is "forty-nine billion, one hundred seventeen million, five hundred eighty-eight thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 71 72 81 96 108 142 144 162 213 216 284 288 324 426 432 568 639 648 852 864 1136 1278 1296 1704 1917 2272 2556 2592 3408 3834 5112 5751 6816 7668 10224 11502 15336 20448 23004 30672 46008 61344 92016 184032 266897 533794 800691 1067588 1601382 2135176 2402073 3202764 4270352 4804146 6405528 7206219 8540704 9608292 12811056 14412438 18949687 19216584 21618657 25622112 28824876 37899374 38433168 43237314 56849061 57649752 75798748 76866336 86474628 113698122 115299504 151597496 170547183 172949256 227396244 230599008 303194992 341094366 345898512 454792488 511641549 606389984 682188732 691797024 909584976 1023283098 1364377464 1534924647 1819169952 2046566196 2728754928 3069849294 4093132392 5457509856 6139698588 8186264784 12279397176 16372529568 24558794352 49117588704