Search a number
-
+
12492474288 = 2437239191759
BaseRepresentation
bin10111010001001110…
…00000011110110000
31012020121210110001220
423220213000132300
5201041033134123
65423341025040
7621401164560
oct135047003660
935217713056
1012492474288
115330748918
122507855180
1312411b3328
148671b4da0
154d1aedce3
hex2e89c07b0

12492474288 has 160 divisors (see below), whose sum is σ = 38549913600. Its totient is φ = 3408438528.

The previous prime is 12492474151. The next prime is 12492474301. The reversal of 12492474288 is 88247429421.

It is a happy number.

It is a super-2 number, since 2×124924742882 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12492474288.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7101153 + ... + 7102911.

It is an arithmetic number, because the mean of its divisors is an integer number (240936960).

Almost surely, 212492474288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12492474288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19274956800).

12492474288 is an abundant number, since it is smaller than the sum of its proper divisors (26057439312).

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

12492474288 is a wasteful number, since it uses less digits than its factorization.

12492474288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 51.

The spelling of 12492474288 in words is "twelve billion, four hundred ninety-two million, four hundred seventy-four thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 919 966 1104 1288 1759 1838 1932 2576 2757 3518 3676 3864 5277 5514 6433 7036 7352 7728 10554 11028 12313 12866 14072 14704 19299 21108 21137 22056 24626 25732 28144 36939 38598 40457 42216 42274 44112 49252 51464 63411 73878 77196 80914 84432 84548 98504 102928 121371 126822 147756 147959 154392 161828 169096 197008 242742 253644 283199 295512 295918 308784 323656 338192 443877 485484 507288 566398 591024 591836 647312 849597 887754 970968 1014576 1132796 1183672 1616521 1699194 1775508 1941936 2265592 2367344 3233042 3398388 3551016 4531184 4849563 6466084 6796776 7102032 9699126 11315647 12932168 13593552 19398252 22631294 25864336 33946941 37179983 38796504 45262588 67893882 74359966 77593008 90525176 111539949 135787764 148719932 181050352 223079898 260259881 271575528 297439864 446159796 520519762 543151056 594879728 780779643 892319592 1041039524 1561559286 1784639184 2082079048 3123118572 4164158096 6246237144 12492474288