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1796768670096 = 243237230192
BaseRepresentation
bin11010001001010111110…
…000100010000110010000
320100202202220020121011100
4122021113300202012100
5213414240234420341
63453231340144400
7243545413463121
oct32112760420620
96322686217140
101796768670096
11633007088704
12250286238100
1310058595728a
1462d6d58a048
1531b1101c3b6
hex1a257c22190

1796768670096 has 135 divisors (see below), whose sum is σ = 5169746492001. Its totient is φ = 582542762112.

The previous prime is 1796768670061. The next prime is 1796768670181. The reversal of 1796768670096 is 6900768676971.

The square root of 1796768670096 is 1340436.

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

It can be written as a sum of positive squares in only one way, i.e., 1607773280400 + 188995389696 = 1267980^2 + 434736^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 595152075 + ... + 595155093.

Almost surely, 21796768670096 is an apocalyptic number.

1796768670096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1796768670096 is the 1340436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1796768670096

1796768670096 is an abundant number, since it is smaller than the sum of its proper divisors (3372977821905).

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

1796768670096 is an frugal number, since it uses more digits than its factorization.

1796768670096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6126 (or 3061 counting only the distinct ones).

The product of its (nonzero) digits is 288054144, while the sum is 72.

The spelling of 1796768670096 in words is "one trillion, seven hundred ninety-six billion, seven hundred sixty-eight million, six hundred seventy thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1369 1776 2664 2738 3019 4107 5328 5476 6038 8214 9057 10952 12076 12321 16428 18114 21904 24152 24642 27171 32856 36228 48304 49284 54342 65712 72456 98568 108684 111703 144912 197136 217368 223406 335109 434736 446812 670218 893624 1005327 1340436 1787248 2010654 2680872 4021308 4133011 5361744 8042616 8266022 9114361 12399033 16085232 16532044 18228722 24798066 27343083 33064088 36457444 37197099 49596132 54686166 66128176 72914888 74394198 82029249 99192264 109372332 145829776 148788396 164058498 198384528 218744664 297576792 328116996 337231357 437489328 595153584 656233992 674462714 1011694071 1312467984 1348925428 2023388142 2697850856 3035082213 4046776284 5395701712 6070164426 8093552568 12140328852 12477560209 16187105136 24280657704 24955120418 37432680627 48561315408 49910240836 74865361254 99820481672 112298041881 149730722508 199640963344 224596083762 299461445016 449192167524 598922890032 898384335048 1796768670096