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490468008114 = 2347261787353
BaseRepresentation
bin1110010001100100010…
…10111110000010110010
31201212222120002100120000
413020302022332002302
531013434302224424
61013152355330430
750302153165500
oct7106212760262
91655876070500
10490468008114
1117a008449957
127b0808b0a16
13373353c3ba6
1419a4b2c9670
15cb58dbe3c9
hex72322be0b2

490468008114 has 60 divisors (see below), whose sum is σ = 1278442141614. Its totient is φ = 140133714336.

The previous prime is 490468008113. The next prime is 490468008143. The reversal of 490468008114 is 411800864094.

490468008114 is a `hidden beast` number, since 490 + 4 + 6 + 80 + 0 + 81 + 1 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 272831762889 + 217636245225 = 522333^2 + 466515^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 490468008114.

It is not an unprimeable number, because it can be changed into a prime (490468008113) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30885739 + ... + 30901614.

Almost surely, 2490468008114 is an apocalyptic number.

490468008114 is an abundant number, since it is smaller than the sum of its proper divisors (787974133500).

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

490468008114 is a wasteful number, since it uses less digits than its factorization.

490468008114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61787381 (or 61787365 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 490468008114 in words is "four hundred ninety billion, four hundred sixty-eight million, eight thousand, one hundred fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1323 2646 3969 7938 61787353 123574706 185362059 370724118 432511471 556086177 865022942 1112172354 1297534413 1668258531 2595068826 3027580297 3336517062 3892603239 5004775593 6055160594 7785206478 9082740891 10009551186 11677809717 18165481782 23355619434 27248222673 35033429151 54496445346 70066858302 81744668019 163489336038 245234004057 490468008114