Search a number
-
+
11987002392 = 233411011031171
BaseRepresentation
bin10110010100111101…
…10010010000011000
31010221101122210222120
423022132302100120
5144022133034032
65301243021240
7603022560561
oct131236622030
933841583876
1011987002392
1150a1394352
1223a650a820
131190563731
14819dd7168
154a255462c
hex2ca7b2418

11987002392 has 128 divisors (see below), whose sum is σ = 31330091520. Its totient is φ = 3818880000.

The previous prime is 11987002367. The next prime is 11987002393. The reversal of 11987002392 is 29320078911.

It is a super-3 number, since 3×119870023923 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11987002393) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10235967 + ... + 10237137.

It is an arithmetic number, because the mean of its divisors is an integer number (244766340).

Almost surely, 211987002392 is an apocalyptic number.

11987002392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11987002392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15665045760).

11987002392 is an abundant number, since it is smaller than the sum of its proper divisors (19343089128).

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

11987002392 is a wasteful number, since it uses less digits than its factorization.

11987002392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1425 (or 1421 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 11987002392 in words is "eleven billion, nine hundred eighty-seven million, two thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 101 103 123 164 202 206 246 303 309 328 404 412 492 606 618 808 824 984 1171 1212 1236 2342 2424 2472 3513 4141 4223 4684 7026 8282 8446 9368 10403 12423 12669 14052 16564 16892 20806 24846 25338 28104 31209 33128 33784 41612 48011 49692 50676 62418 83224 96022 99384 101352 118271 120613 124836 144033 192044 236542 241226 249672 288066 354813 361839 384088 426523 473084 482452 576132 709626 723678 853046 946168 964904 1152264 1279569 1419252 1447356 1706092 2559138 2838504 2894712 3412184 4849111 4945133 5118276 9698222 9890266 10236552 12181913 14547333 14835399 19396444 19780532 24363826 29094666 29670798 36545739 38792888 39561064 48727652 58189332 59341596 73091478 97455304 116378664 118683192 146182956 292365912 499458433 998916866 1498375299 1997833732 2996750598 3995667464 5993501196 11987002392