Search a number
-
+
49916069632 = 2811139714057
BaseRepresentation
bin101110011111001110…
…101100011100000000
311202211201220001210201
4232133032230130000
51304212003212012
634533042334544
73414652406542
oct563716543400
9152751801721
1049916069632
111a195357a10
12981095a454
1349265646a0
1425b7523692
151472316857
hexb9f3ac700

49916069632 has 144 divisors (see below), whose sum is σ = 118271416032. Its totient is φ = 20726415360.

The previous prime is 49916069597. The next prime is 49916069641. The reversal of 49916069632 is 23696061994.

49916069632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×499160696322 (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (55) coincides with the sum of the digits of its prime factors.

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, 3543948 + ... + 3558004.

It is an arithmetic number, because the mean of its divisors is an integer number (821329278).

Almost surely, 249916069632 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 49916069632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59135708016).

49916069632 is an abundant number, since it is smaller than the sum of its proper divisors (68355346400).

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

49916069632 is a wasteful number, since it uses less digits than its factorization.

49916069632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14194 (or 14180 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 55.

The spelling of 49916069632 in words is "forty-nine billion, nine hundred sixteen million, sixty-nine thousand, six hundred thirty-two".

Divisors: 1 2 4 8 11 13 16 22 26 32 44 52 64 88 97 104 128 143 176 194 208 256 286 352 388 416 572 704 776 832 1067 1144 1261 1408 1552 1664 2134 2288 2522 2816 3104 3328 4268 4576 5044 6208 8536 9152 10088 12416 13871 14057 17072 18304 20176 24832 27742 28114 34144 36608 40352 55484 56228 68288 80704 110968 112456 136576 154627 161408 182741 221936 224912 273152 309254 322816 365482 443872 449824 618508 730964 887744 899648 1237016 1363529 1461928 1775488 1799296 2010151 2474032 2727058 2923856 3550976 3598592 4020302 4948064 5454116 5847712 8040604 9896128 10908232 11695424 14998819 16081208 17725877 19792256 21816464 23390848 29997638 32162416 35451754 39584512 43632928 46781696 59995276 64324832 70903508 87265856 119990552 128649664 141807016 174531712 194984647 239981104 257299328 283614032 349063424 389969294 479962208 514598656 567228064 779938588 959924416 1134456128 1559877176 1919848832 2268912256 3119754352 3839697664 4537824512 6239508704 12479017408 24958034816 49916069632