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4705225074 = 23211317310501
BaseRepresentation
bin1000110000111010…
…00000100101110010
3110010220201012101100
410120131000211302
534114014200244
62054521145230
7224412516234
oct43035004562
913126635340
104705225074
111aa4a82270
12ab392b216
1359ca70164
14328c8c254
151c812ab69
hex118740972

4705225074 has 96 divisors (see below), whose sum is σ = 11638568448. Its totient is φ = 1360800000.

The previous prime is 4705225009. The next prime is 4705225093.

It is a happy number.

4705225074 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 442824 + ... + 453324.

It is an arithmetic number, because the mean of its divisors is an integer number (121235088).

Almost surely, 24705225074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4705225074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5819284224).

4705225074 is an abundant number, since it is smaller than the sum of its proper divisors (6933343374).

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

4705225074 is a wasteful number, since it uses less digits than its factorization.

4705225074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10624 (or 10621 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 36.

The square root of 4705225074 is about 68594.6431873510. The cubic root of 4705225074 is about 1675.6891883146.

The spelling of 4705225074 in words is "four billion, seven hundred five million, two hundred twenty-five thousand, seventy-four".

Divisors: 1 2 3 6 9 11 18 22 31 33 62 66 73 93 99 146 186 198 219 279 341 438 558 657 682 803 1023 1314 1606 2046 2263 2409 3069 4526 4818 6138 6789 7227 10501 13578 14454 20367 21002 24893 31503 40734 49786 63006 74679 94509 115511 149358 189018 224037 231022 325531 346533 448074 651062 693066 766573 976593 1039599 1533146 1953186 2079198 2299719 2929779 3580841 4599438 5859558 6899157 7161682 8432303 10742523 13798314 16864606 21485046 23763763 25296909 32227569 47527526 50593818 64455138 71291289 75890727 142582578 151781454 213873867 261401393 427747734 522802786 784204179 1568408358 2352612537 4705225074