Search a number
-
+
188846034912 = 25326730673191
BaseRepresentation
bin1010111111100000011…
…0011100111111100000
3200001110000010112212100
42233320012130333200
511043224041104122
6222431001530400
716433531545233
oct2577006347740
9601400115770
10188846034912
11730a8733137
12307241a3a00
1314a67537c32
1491d69b341a
154da4120aac
hex2bf819cfe0

188846034912 has 144 divisors (see below), whose sum is σ = 545394874752. Its totient is φ = 61969501440.

The previous prime is 188846034899. The next prime is 188846034917. The reversal of 188846034912 is 219430648881.

It is a happy number.

188846034912 is a `hidden beast` number, since 18 + 8 + 8 + 4 + 603 + 4 + 9 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (188846034917) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 59179237 + ... + 59182427.

It is an arithmetic number, because the mean of its divisors is an integer number (3787464408).

Almost surely, 2188846034912 is an apocalyptic number.

188846034912 is a gapful number since it is divisible by the number (12) 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 188846034912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272697437376).

188846034912 is an abundant number, since it is smaller than the sum of its proper divisors (356548839840).

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

188846034912 is a wasteful number, since it uses less digits than its factorization.

188846034912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6341 (or 6330 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 188846034912 in words is "one hundred eighty-eight billion, eight hundred forty-six million, thirty-four thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 67 72 96 134 144 201 268 288 402 536 603 804 1072 1206 1608 2144 2412 3067 3191 3216 4824 6134 6382 6432 9201 9573 9648 12268 12764 18402 19146 19296 24536 25528 27603 28719 36804 38292 49072 51056 55206 57438 73608 76584 98144 102112 110412 114876 147216 153168 205489 213797 220824 229752 294432 306336 410978 427594 441648 459504 616467 641391 821956 855188 883296 919008 1232934 1282782 1643912 1710376 1849401 1924173 2465868 2565564 3287824 3420752 3698802 3848346 4931736 5131128 6575648 6841504 7397604 7696692 9786797 9863472 10262256 14795208 15393384 19573594 19726944 20524512 29360391 29590416 30786768 39147188 58720782 59180832 61573536 78294376 88081173 117441564 156588752 176162346 234883128 313177504 352324692 469766256 655715399 704649384 939532512 1311430798 1409298768 1967146197 2622861596 2818597536 3934292394 5245723192 5901438591 7868584788 10491446384 11802877182 15737169576 20982892768 23605754364 31474339152 47211508728 62948678304 94423017456 188846034912