Search a number
-
+
2018850944 = 271123312011
BaseRepresentation
bin111100001010101…
…0011100010000000
312012200211020212012
41320111103202000
513113311212234
6532154552052
7101012643545
oct17025234200
95180736765
102018850944
11946652660
12484138628
13262347776
141521a4bcc
15bc3880ce
hex78553880

2018850944 has 128 divisors (see below), whose sum is σ = 4728360960. Its totient is φ = 849024000.

The previous prime is 2018850919. The next prime is 2018850959. The reversal of 2018850944 is 4490588102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×20188509442 = 8151518268179382272, which contains 22 as substring.

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, 1002899 + ... + 1004909.

It is an arithmetic number, because the mean of its divisors is an integer number (36940320).

Almost surely, 22018850944 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 2018850944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2364180480).

2018850944 is an abundant number, since it is smaller than the sum of its proper divisors (2709510016).

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

2018850944 is a wasteful number, since it uses less digits than its factorization.

2018850944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2090 (or 2078 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 41.

The square root of 2018850944 is about 44931.6252098675. The cubic root of 2018850944 is about 1263.8671280508.

The spelling of 2018850944 in words is "two billion, eighteen million, eight hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 4 8 11 16 22 23 31 32 44 46 62 64 88 92 124 128 176 184 248 253 341 352 368 496 506 682 704 713 736 992 1012 1364 1408 1426 1472 1984 2011 2024 2728 2852 2944 3968 4022 4048 5456 5704 7843 8044 8096 10912 11408 15686 16088 16192 21824 22121 22816 31372 32176 32384 43648 44242 45632 46253 62341 62744 64352 88484 91264 92506 124682 125488 128704 176968 185012 249364 250976 257408 353936 370024 498728 501952 508783 685751 707872 740048 997456 1003904 1017566 1371502 1415744 1433843 1480096 1994912 2035132 2743004 2831488 2867686 2960192 3989824 4070264 5486008 5735372 5920384 7979648 8140528 10972016 11470744 15772273 16281056 21944032 22941488 31544546 32562112 43888064 45882976 63089092 65124224 87776128 91765952 126178184 183531904 252356368 504712736 1009425472 2018850944