Search a number
-
+
384488152164 = 223317331096619
BaseRepresentation
bin1011001100001010100…
…01111001110001100100
31100202102122021212002000
411212011101321301210
522244412431332124
6452344215245300
736530655240564
oct5460521716144
91322378255060
10384488152164
111390735a1546
1262624379830
132a345a4c55c
1414875dc0da4
15a004bca6c9
hex5985479c64

384488152164 has 96 divisors (see below), whose sum is σ = 1003057104000. Its totient is φ = 127361662848.

The previous prime is 384488152079. The next prime is 384488152183. The reversal of 384488152164 is 461251884483.

384488152164 is a `hidden beast` number, since 3 + 8 + 4 + 488 + 152 + 1 + 6 + 4 = 666.

It is a super-2 number, since 2×3844881521642 (a number of 24 digits) contains 22 as substring.

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 384488152164.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58085247 + ... + 58091865.

It is an arithmetic number, because the mean of its divisors is an integer number (10448511500).

Almost surely, 2384488152164 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 384488152164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501528552000).

384488152164 is an abundant number, since it is smaller than the sum of its proper divisors (618568951836).

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

384488152164 is a wasteful number, since it uses less digits than its factorization.

384488152164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9914 (or 9906 counting only the distinct ones).

The product of its digits is 5898240, while the sum is 54.

The spelling of 384488152164 in words is "three hundred eighty-four billion, four hundred eighty-eight million, one hundred fifty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 173 346 519 692 1038 1557 2076 3109 3114 4671 6218 6228 6619 9327 9342 12436 13238 18654 18684 19857 26476 27981 37308 39714 55962 59571 79428 83943 111924 119142 167886 178713 238284 335772 357426 537857 714852 1075714 1145087 1613571 2151428 2290174 3227142 3435261 4580348 4840713 6454284 6870522 9681426 10305783 13741044 14522139 19362852 20578471 20611566 29044278 30917349 41156942 41223132 58088556 61735413 61834698 82313884 123470826 123669396 185206239 246941652 370412478 555618717 740824956 1111237434 2222474868 3560075483 7120150966 10680226449 14240301932 21360452898 32040679347 42720905796 64081358694 96122038041 128162717388 192244076082 384488152164