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1768616870454 = 2327218671074041
BaseRepresentation
bin11001101111001001110…
…001111100001000110110
320021002002221200000001100
4121233021301330020312
5212434111404323304
63432254045310530
7241530655232400
oct31571161741066
96232087600040
101768616870454
1162208012a995
1224692a265446
13caa1a45a475
146185c7a3b70
15310147bd439
hex19bc9c7c236

1768616870454 has 72 divisors (see below), whose sum is σ = 4460028143688. Its totient is φ = 505047977280.

The previous prime is 1768616870437. The next prime is 1768616870477. The reversal of 1768616870454 is 4540786168671.

1768616870454 is a `hidden beast` number, since 1 + 7 + 6 + 8 + 616 + 8 + 7 + 0 + 4 + 5 + 4 = 666.

It is a super-2 number, since 2×17686168704542 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1768616870391 and 1768616870400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1109674 + ... + 2183714.

It is an arithmetic number, because the mean of its divisors is an integer number (61944835329).

Almost surely, 21768616870454 is an apocalyptic number.

1768616870454 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1768616870454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2230014071844).

1768616870454 is an abundant number, since it is smaller than the sum of its proper divisors (2691411273234).

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

1768616870454 is a wasteful number, since it uses less digits than its factorization.

1768616870454 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1075930 (or 1075920 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 1768616870454 in words is "one trillion, seven hundred sixty-eight billion, six hundred sixteen million, eight hundred seventy thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 294 441 882 1867 3734 5601 11202 13069 16803 26138 33606 39207 78414 91483 117621 182966 235242 274449 548898 823347 1074041 1646694 2148082 3222123 6444246 7518287 9666369 15036574 19332738 22554861 45109722 52628009 67664583 105256018 135329166 157884027 315768054 473652081 947304162 2005234547 4010469094 6015703641 12031407282 14036641829 18047110923 28073283658 36094221846 42109925487 84219850974 98256492803 126329776461 196512985606 252659552922 294769478409 589538956818 884308435227 1768616870454