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11530893924 = 223211216272
BaseRepresentation
bin10101011110100101…
…10111101001100100
31002202121102002210100
422233102313221210
5142103402101144
65144111024100
7555513660354
oct125722675144
932677362710
1011530893924
114987986300
12229980b030
131119c08574
147b55c8b64
154774ab269
hex2af4b7a64

11530893924 has 81 divisors (see below), whose sum is σ = 32057905971. Its totient is φ = 3492062640.

The previous prime is 11530893911. The next prime is 11530893937. The reversal of 11530893924 is 42939803511.

It is a happy number.

The square root of 11530893924 is 107382.

It is a perfect power (a square), and thus also a powerful number.

11530893924 is a `hidden beast` number, since 1 + 1 + 530 + 8 + 93 + 9 + 24 = 666.

It is an interprime number because it is at equal distance from previous prime (11530893911) and next prime (11530893937).

It is a self number, because there is not a number n which added to its sum of digits gives 11530893924.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7086399 + ... + 7088025.

Almost surely, 211530893924 is an apocalyptic number.

11530893924 is the 107382-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11530893924

11530893924 is an abundant number, since it is smaller than the sum of its proper divisors (20527012047).

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

11530893924 is a wasteful number, since it uses less digits than its factorization.

11530893924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3286 (or 1643 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 11530893924 in words is "eleven billion, five hundred thirty million, eight hundred ninety-three thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 1627 2178 3254 4356 4881 6508 9762 14643 17897 19524 29286 35794 53691 58572 71588 107382 161073 196867 214764 322146 393734 590601 644292 787468 1181202 1771803 2362404 2647129 3543606 5294258 7087212 7941387 10588516 15882774 23824161 29118419 31765548 47648322 58236838 87355257 95296644 116473676 174710514 262065771 320302609 349421028 524131542 640605218 960907827 1048263084 1281210436 1921815654 2882723481 3843631308 5765446962 11530893924