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6161342647104 = 263210696775429
BaseRepresentation
bin101100110101000110010…
…1000111100101101000000
3210211000111120012020110200
41121222030220330231000
51301421412204201404
621034252015525200
71204066546246341
oct131521450745500
923730446166420
106161342647104
111a66013331217
12836139229800
13359020817058
141742d3b660c8
15aa40d73b839
hex59a8ca3cb40

6161342647104 has 42 divisors (see below), whose sum is σ = 17660376234930. Its totient is φ = 2053780882176.

The previous prime is 6161342647093. The next prime is 6161342647129. The reversal of 6161342647104 is 4017462431616.

6161342647104 is a `hidden beast` number, since 6 + 1 + 613 + 4 + 26 + 4 + 7 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3939907406400 + 2221435240704 = 1984920^2 + 1490448^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 6161342647104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5348387139 + ... + 5348388290.

Almost surely, 26161342647104 is an apocalyptic number.

6161342647104 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6161342647104 is an abundant number, since it is smaller than the sum of its proper divisors (11499033587826).

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

6161342647104 is a wasteful number, since it uses less digits than its factorization.

6161342647104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10696775447 (or 10696775434 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 6161342647104 in words is "six trillion, one hundred sixty-one billion, three hundred forty-two million, six hundred forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 10696775429 21393550858 32090326287 42787101716 64180652574 85574203432 96270978861 128361305148 171148406864 192541957722 256722610296 342296813728 385083915444 513445220592 684593627456 770167830888 1026890441184 1540335661776 2053780882368 3080671323552 6161342647104