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1896965568 = 26341372671
BaseRepresentation
bin111000100010001…
…0110010111000000
311220012110211120000
41301010112113000
512341110344233
6512122320000
765002640601
oct16104262700
94805424500
101896965568
11893873343
1244b359000
13243010644
1413dd17da8
15b180dd13
hex711165c0

1896965568 has 140 divisors (see below), whose sum is σ = 5666366112. Its totient is φ = 627471360.

The previous prime is 1896965561. The next prime is 1896965569. The reversal of 1896965568 is 8655696981.

1896965568 is a `hidden beast` number, since 1 + 8 + 9 + 6 + 9 + 65 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1896965561) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 708873 + ... + 711543.

Almost surely, 21896965568 is an apocalyptic number.

1896965568 is a gapful number since it is divisible by the number (18) 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 1896965568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2833183056).

1896965568 is an abundant number, since it is smaller than the sum of its proper divisors (3769400544).

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

1896965568 is a wasteful number, since it uses less digits than its factorization.

1896965568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2832 (or 2813 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 63.

The square root of 1896965568 is about 43554.1682046621. The cubic root of 1896965568 is about 1237.9026216096.

The spelling of 1896965568 in words is "one billion, eight hundred ninety-six million, nine hundred sixty-five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 137 144 162 192 216 274 288 324 411 432 548 576 648 822 864 1096 1233 1296 1644 1728 2192 2466 2592 2671 3288 3699 4384 4932 5184 5342 6576 7398 8013 8768 9864 10684 11097 13152 14796 16026 19728 21368 22194 24039 26304 29592 32052 39456 42736 44388 48078 59184 64104 72117 78912 85472 88776 96156 118368 128208 144234 170944 177552 192312 216351 236736 256416 288468 355104 365927 384624 432702 512832 576936 710208 731854 769248 865404 1097781 1153872 1463708 1538496 1730808 2195562 2307744 2927416 3293343 3461616 4391124 4615488 5854832 6586686 6923232 8782248 9880029 11709664 13173372 13846464 17564496 19760058 23419328 26346744 29640087 35128992 39520116 52693488 59280174 70257984 79040232 105386976 118560348 158080464 210773952 237120696 316160928 474241392 632321856 948482784 1896965568