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6181104330 = 234553143981
BaseRepresentation
bin1011100000110110…
…00010101011001010
3120221202211122010000
411300123002223022
5100124330314310
62501202303430
7306113343222
oct56033025312
916852748100
106181104330
112692088195
121246057b76
137767684ab
14428cb3082
152629ad4c0
hex1706c2aca

6181104330 has 80 divisors (see below), whose sum is σ = 16934010984. Its totient is φ = 1617183360.

The previous prime is 6181104329. The next prime is 6181104331. The reversal of 6181104330 is 334011816.

6181104330 is a `hidden beast` number, since 618 + 1 + 1 + 0 + 43 + 3 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (6181104329) and next prime (6181104331).

It can be written as a sum of positive squares in 4 ways, for example, as 5578745481 + 602358849 = 74691^2 + 24543^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 6181104294 and 6181104303.

It is not an unprimeable number, because it can be changed into a prime (6181104331) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29061 + ... + 114920.

Almost surely, 26181104330 is an apocalyptic number.

6181104330 is an abundant number, since it is smaller than the sum of its proper divisors (10752906654).

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

6181104330 is a wasteful number, since it uses less digits than its factorization.

6181104330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144053 (or 144044 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 6181104330 is about 78619.9995548207. Note that the first 3 decimals coincide. The cubic root of 6181104330 is about 1835.2223574611. Note that the first 3 decimals are identical.

The spelling of 6181104330 in words is "six billion, one hundred eighty-one million, one hundred four thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1431 1590 2385 2862 4293 4770 7155 8586 14310 21465 42930 143981 287962 431943 719905 863886 1295829 1439810 2159715 2591658 3887487 4319430 6479145 7630993 7774974 11662461 12958290 15261986 19437435 22892979 23324922 38154965 38874870 45785958 58312305 68678937 76309930 114464895 116624610 137357874 206036811 228929790 343394685 412073622 618110433 686789370 1030184055 1236220866 2060368110 3090552165 6181104330