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189423411984 = 2432362692
BaseRepresentation
bin1011000001101010000…
…0111110001100010000
3200002221020120100022100
42300122200332030100
511100414343140414
6223004145040400
716454042302302
oct2603240761420
9602836510270
10189423411984
117337463a074
1230865626100
1314b2a042581
14924d54b972
154dd9b70609
hex2c1a83e310

189423411984 has 45 divisors (see below), whose sum is σ = 530137082293. Its totient is φ = 63139396416.

The previous prime is 189423411977. The next prime is 189423412069. The reversal of 189423411984 is 489114324981.

The square root of 189423411984 is 435228.

It is a perfect power (a square), and thus also a powerful number.

189423411984 is a `hidden beast` number, since 189 + 42 + 3 + 411 + 9 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 185909293584 + 3514118400 = 431172^2 + 59280^2 .

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 189423411984.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5204602 + ... + 5240870.

Almost surely, 2189423411984 is an apocalyptic number.

189423411984 is the 435228-th square number.

It is an amenable number.

189423411984 is an abundant number, since it is smaller than the sum of its proper divisors (340713670309).

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

189423411984 is an frugal number, since it uses more digits than its factorization.

189423411984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72552 (or 36274 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 189423411984 in words is "one hundred eighty-nine billion, four hundred twenty-three million, four hundred eleven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 36269 72538 108807 145076 217614 290152 326421 435228 580304 652842 870456 1305684 1740912 2611368 5222736 1315440361 2630880722 3946321083 5261761444 7892642166 10523522888 11838963249 15785284332 21047045776 23677926498 31570568664 47355852996 63141137328 94711705992 189423411984