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18988424268 = 2231153283617
BaseRepresentation
bin10001101011110011…
…000101110001001100
31211000100001220012220
4101223303011301030
5302342014034033
612420111455340
71241356641342
oct215363056114
954010056186
1018988424268
11806451a220
12381b227550
131a37c46908
14cc1c03992
1576204ebb3
hex46bcc5c4c

18988424268 has 144 divisors (see below), whose sum is σ = 49937682816. Its totient is φ = 5568442880.

The previous prime is 18988424251. The next prime is 18988424281. The reversal of 18988424268 is 86242488981.

It is a super-3 number, since 3×189884242683 (a number of 32 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 30775096 + ... + 30775712.

It is an arithmetic number, because the mean of its divisors is an integer number (346789464).

Almost surely, 218988424268 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 18988424268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24968841408).

18988424268 is an abundant number, since it is smaller than the sum of its proper divisors (30949258548).

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

18988424268 is a wasteful number, since it uses less digits than its factorization.

18988424268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 769 counting only the distinct ones).

The product of its digits is 14155776, while the sum is 60.

The spelling of 18988424268 in words is "eighteen billion, nine hundred eighty-eight million, four hundred twenty-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 11 12 22 33 44 53 66 83 106 132 159 166 212 249 318 332 498 583 617 636 913 996 1166 1234 1749 1826 1851 2332 2468 2739 2809 3498 3652 3702 4399 5478 5618 6787 6996 7404 8427 8798 10956 11236 13197 13574 16854 17596 20361 26394 27148 30899 32701 33708 40722 48389 51211 52788 61798 65402 81444 92697 96778 98103 102422 123596 130804 145167 153633 185394 193556 196206 204844 233147 290334 307266 359711 370788 392412 466294 563321 580668 614532 699441 719422 932588 1079133 1126642 1398882 1438844 1689963 1733153 2158266 2253284 2564617 2714183 2797764 3379926 3466306 4316532 5129234 5199459 5428366 6759852 6932612 7693851 8142549 10258468 10398918 10856732 15387702 16285098 19064683 20797836 29856013 30775404 32570196 38129366 57194049 59712026 76258732 89568039 114388098 119424052 143851699 179136078 228776196 287703398 358272156 431555097 575406796 863110194 1582368689 1726220388 3164737378 4747106067 6329474756 9494212134 18988424268