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189601026624 = 2632181432
BaseRepresentation
bin1011000010010100011…
…0100001001001000000
3200010101121210002210100
42300211012201021000
511101300330322444
6223033532002400
716461330064242
oct2604506411100
9603347702710
10189601026624
1173455922629
12308b5000400
1314b57a8c7a9
149268d84092
154dea556e69
hex2c251a1240

189601026624 has 63 divisors (see below), whose sum is σ = 543487065043. Its totient is φ = 63196858752.

The previous prime is 189601026569. The next prime is 189601026649. The reversal of 189601026624 is 426620106981.

The square root of 189601026624 is 435432.

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

189601026624 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 0 + 10 + 2 + 6 + 624 = 666.

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 189601026624.

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, 10441297 + ... + 10459439.

Almost surely, 2189601026624 is an apocalyptic number.

189601026624 is the 435432-nd square number.

It is an amenable number.

189601026624 is an abundant number, since it is smaller than the sum of its proper divisors (353886038419).

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

189601026624 is an frugal number, since it uses more digits than its factorization.

189601026624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36304 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 189601026624 in words is "one hundred eighty-nine billion, six hundred one million, twenty-six thousand, six hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 18143 36286 54429 72572 108858 145144 163287 217716 290288 326574 435432 580576 653148 870864 1161152 1306296 1741728 2612592 3483456 5225184 10450368 329168449 658336898 987505347 1316673796 1975010694 2633347592 2962516041 3950021388 5266695184 5925032082 7900042776 10533390368 11850064164 15800085552 21066780736 23700128328 31600171104 47400256656 63200342208 94800513312 189601026624