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5047286958 = 2337191036823
BaseRepresentation
bin1001011001101011…
…10111110010101110
3111000202100202002000
410230311313302232
540314101140313
62152500513130
7236035142220
oct45465676256
914022322060
105047286958
11216007543a
12b8a3ab7a6
136258a713c
1435c490410
151e8197673
hex12cd77cae

5047286958 has 128 divisors (see below), whose sum is σ = 13626163200. Its totient is φ = 1352720736.

The previous prime is 5047286953. The next prime is 5047286999. The reversal of 5047286958 is 8596827405.

5047286958 is a `hidden beast` number, since 5 + 0 + 472 + 86 + 95 + 8 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5047286953) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 736335 + ... + 743157.

It is an arithmetic number, because the mean of its divisors is an integer number (106454400).

Almost surely, 25047286958 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5047286958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6813081600).

5047286958 is an abundant number, since it is smaller than the sum of its proper divisors (8578876242).

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

5047286958 is a wasteful number, since it uses less digits than its factorization.

5047286958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6963 (or 6957 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The square root of 5047286958 is about 71044.2605563602. The cubic root of 5047286958 is about 1715.3496790000.

The spelling of 5047286958 in words is "five billion, forty-seven million, two hundred eighty-six thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 19 21 27 38 42 54 57 63 103 114 126 133 171 189 206 266 309 342 378 399 513 618 721 798 927 1026 1197 1442 1854 1957 2163 2394 2781 3591 3914 4326 5562 5871 6489 6823 7182 11742 12978 13646 13699 17613 19467 20469 27398 35226 38934 40938 41097 47761 52839 61407 82194 95522 105678 122814 123291 129637 143283 184221 246582 259274 286566 368442 369873 388911 429849 702769 739746 777822 859698 907459 1166733 1289547 1405538 1814918 2108307 2333466 2579094 2722377 3500199 4216614 4919383 5444754 6324921 7000398 8167131 9838766 12649842 13352611 14758149 16334262 18974763 24501393 26705222 29516298 37949526 40057833 44274447 49002786 80115666 88548894 93468277 120173499 132823341 186936554 240346998 265646682 280404831 360520497 560809662 721040994 841214493 1682428986 2523643479 5047286958