Search a number
-
+
18900555984 = 2433148929383
BaseRepresentation
bin10001100110100011…
…111001100011010000
31210210012201201121000
4101212203321203100
5302202020242414
612403252302000
71236242034522
oct214643714320
953705651530
1018900555984
118019964502
1237b5911900
131a2299004b
14cb428da12
15759494b09
hex4668f98d0

18900555984 has 80 divisors (see below), whose sum is σ = 54289878400. Its totient is φ = 6295739904.

The previous prime is 18900555977. The next prime is 18900556001. The reversal of 18900555984 is 48955500981.

18900555984 is a `hidden beast` number, since 1 + 8 + 9 + 0 + 0 + 5 + 559 + 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 18900555984.

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, 628557 + ... + 657939.

It is an arithmetic number, because the mean of its divisors is an integer number (678623480).

Almost surely, 218900555984 is an apocalyptic number.

It is an amenable number.

18900555984 is an abundant number, since it is smaller than the sum of its proper divisors (35389322416).

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

18900555984 is a wasteful number, since it uses less digits than its factorization.

18900555984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30889 (or 30877 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 54.

The spelling of 18900555984 in words is "eighteen billion, nine hundred million, five hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1489 2978 4467 5956 8934 11912 13401 17868 23824 26802 29383 35736 40203 53604 58766 71472 80406 88149 107208 117532 160812 176298 214416 235064 264447 321624 352596 470128 528894 643248 705192 793341 1057788 1410384 1586682 2115576 3173364 4231152 6346728 12693456 43751287 87502574 131253861 175005148 262507722 350010296 393761583 525015444 700020592 787523166 1050030888 1181284749 1575046332 2100061776 2362569498 3150092664 4725138996 6300185328 9450277992 18900555984