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5257052766 = 23571725347
BaseRepresentation
bin1001110010101100…
…00100001001011110
3111120101001221200000
410321112010021132
541231301142031
62225352515130
7244163132310
oct47126041136
914511057600
105257052766
112258518609
1210286abaa6
1365a1a0514
1437c2957b0
1520b7d03e6
hex13958425e

5257052766 has 144 divisors (see below), whose sum is σ = 14343079296. Its totient is φ = 1413396864.

The previous prime is 5257052761. The next prime is 5257052803. The reversal of 5257052766 is 6672507525.

5257052766 is a `hidden beast` number, since 5 + 2 + 570 + 5 + 2 + 76 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5257052761) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 980505 + ... + 985851.

Almost surely, 25257052766 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5257052766, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7171539648).

5257052766 is an abundant number, since it is smaller than the sum of its proper divisors (9086026530).

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

5257052766 is a wasteful number, since it uses less digits than its factorization.

5257052766 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5405 (or 5376 counting only the distinct ones).

The product of its (nonzero) digits is 882000, while the sum is 45.

The square root of 5257052766 is about 72505.5361058726. The cubic root of 5257052766 is about 1738.7912472929.

The spelling of 5257052766 in words is "five billion, two hundred fifty-seven million, fifty-two thousand, seven hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 17 18 21 27 34 42 51 54 63 81 102 119 126 153 162 189 238 243 289 306 357 378 459 486 567 578 714 867 918 1071 1134 1377 1701 1734 2023 2142 2601 2754 3213 3402 4046 4131 5202 5347 6069 6426 7803 8262 9639 10694 12138 15606 16041 18207 19278 23409 28917 32082 36414 37429 46818 48123 54621 57834 70227 74858 90899 96246 109242 112287 140454 144369 163863 181798 224574 272697 288738 327726 336861 433107 491589 545394 636293 673722 818091 866214 983178 1010583 1272586 1299321 1545283 1636182 1908879 2021166 2454273 2598642 3031749 3090566 3817758 4635849 4908546 5726637 6063498 7362819 9095247 9271698 10816981 11453274 13907547 14725638 17179911 18190494 21633962 22088457 27815094 32450943 34359822 41722641 44176914 51539733 64901886 83445282 97352829 103079466 125167923 154619199 194705658 250335846 292058487 309238398 375503769 584116974 751007538 876175461 1752350922 2628526383 5257052766