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4561795098 = 23476760041
BaseRepresentation
bin1000011111110011…
…10111100000011010
3102202220211012110000
410033321313200122
533320304420343
62032355033430
7221021422110
oct41771674032
912686735400
104561795098
111a310181a3
12a7389b876
13579131853
14313bd3ab0
151ba747ed3
hex10fe7781a

4561795098 has 80 divisors (see below), whose sum is σ = 11856613824. Its totient is φ = 1283895360.

The previous prime is 4561795097. The next prime is 4561795103. The reversal of 4561795098 is 8905971654.

4561795098 is a `hidden beast` number, since 4 + 5 + 61 + 79 + 509 + 8 = 666.

It is a super-2 number, since 2×45617950982 = 41619949032273659208, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4561795097) 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, 45958 + ... + 105998.

Almost surely, 24561795098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4561795098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5928306912).

4561795098 is an abundant number, since it is smaller than the sum of its proper divisors (7294818726).

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

4561795098 is a wasteful number, since it uses less digits than its factorization.

4561795098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60129 (or 60120 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 54.

The square root of 4561795098 is about 67541.0623102717. The cubic root of 4561795098 is about 1658.4864388818.

It can be divided in two parts, 45617 and 95098, that added together give a triangular number (140715 = T530).

The spelling of 4561795098 in words is "four billion, five hundred sixty-one million, seven hundred ninety-five thousand, ninety-eight".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 67 81 126 134 162 189 201 378 402 469 567 603 938 1134 1206 1407 1809 2814 3618 4221 5427 8442 10854 12663 25326 37989 60041 75978 120082 180123 360246 420287 540369 840574 1080738 1260861 1621107 2521722 3242214 3782583 4022747 4863321 7565166 8045494 9726642 11347749 12068241 22695498 24136482 28159229 34043247 36204723 56318458 68086494 72409446 84477687 108614169 168955374 217228338 253433061 325842507 506866122 651685014 760299183 1520598366 2280897549 4561795098