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5106416454 = 2322943122697
BaseRepresentation
bin1001100000101110…
…11011101101000110
3111011212121211111100
410300113123231012
540424220311304
62202412120530
7240353552346
oct46027335506
914155554440
105106416454
112190491297
12ba6166146
13634c0aac9
14366282d26
151ed477439
hex1305dbb46

5106416454 has 48 divisors (see below), whose sum is σ = 11472477120. Its totient is φ = 1639559040.

The previous prime is 5106416443. The next prime is 5106416501. The reversal of 5106416454 is 4546146015.

5106416454 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 4 + 1 + 645 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 213634 + ... + 236330.

It is an arithmetic number, because the mean of its divisors is an integer number (239009940).

Almost surely, 25106416454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5106416454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5736238560).

5106416454 is an abundant number, since it is smaller than the sum of its proper divisors (6366060666).

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

5106416454 is a wasteful number, since it uses less digits than its factorization.

5106416454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23165 (or 23162 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The square root of 5106416454 is about 71459.1943279519. The cubic root of 5106416454 is about 1722.0221905059.

The spelling of 5106416454 in words is "five billion, one hundred six million, four hundred sixteen thousand, four hundred fifty-four".

Divisors: 1 2 3 6 9 18 29 58 87 174 261 431 522 862 1293 2586 3879 7758 12499 22697 24998 37497 45394 68091 74994 112491 136182 204273 224982 408546 658213 1316426 1974639 3949278 5923917 9782407 11847834 19564814 29347221 58694442 88041663 176083326 283689803 567379606 851069409 1702138818 2553208227 5106416454