Search a number
-
+
20159553384 = 23324114945833
BaseRepresentation
bin10010110001100110…
…100101111101101000
31221000221202102100100
4102301212211331220
5312241321202014
613132225105400
71312400243055
oct226146457550
957027672310
1020159553384
1186055a6923
123aa7488260
131b93770019
14d9357a02c
157cec86009
hex4b19a5f68

20159553384 has 96 divisors (see below), whose sum is σ = 56307069000. Its totient is φ = 6511810560.

The previous prime is 20159553371. The next prime is 20159553391. The reversal of 20159553384 is 48335595102.

20159553384 is a `hidden beast` number, since 2 + 0 + 1 + 595 + 53 + 3 + 8 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9316496484 + 10843056900 = 96522^2 + 104130^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 416932 + ... + 462764.

Almost surely, 220159553384 is an apocalyptic number.

20159553384 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20159553384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28153534500).

20159553384 is an abundant number, since it is smaller than the sum of its proper divisors (36147515616).

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

20159553384 is a wasteful number, since it uses less digits than its factorization.

20159553384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46035 (or 46028 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 20159553384 in words is "twenty billion, one hundred fifty-nine million, five hundred fifty-three thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 149 164 246 298 328 369 447 492 596 738 894 984 1192 1341 1476 1788 2682 2952 3576 5364 6109 10728 12218 18327 24436 36654 45833 48872 54981 73308 91666 109962 137499 146616 183332 219924 274998 366664 412497 439848 549996 824994 1099992 1649988 1879153 3299976 3758306 5637459 6829117 7516612 11274918 13658234 15033224 16912377 20487351 22549836 27316468 33824754 40974702 45099672 54632936 61462053 67649508 81949404 122924106 135299016 163898808 245848212 279993797 491696424 559987594 839981391 1119975188 1679962782 2239950376 2519944173 3359925564 5039888346 6719851128 10079776692 20159553384