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11089463004 = 2233292831471
BaseRepresentation
bin10100101001111101…
…11100011011011100
31001121211210002102000
422110332330123130
5140202400304004
65032221402300
7541543610634
oct122476743334
931554702360
1011089463004
114780792764
122195a09390
13107961c039
14772b1b6c4
1544d861c39
hex294fbc6dc

11089463004 has 144 divisors (see below), whose sum is σ = 30155274240. Its totient is φ = 3523625280.

The previous prime is 11089462997. The next prime is 11089463023. The reversal of 11089463004 is 40036498011.

11089463004 is a `hidden beast` number, since 1 + 10 + 8 + 9 + 4 + 630 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11089463004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7537989 + ... + 7539459.

Almost surely, 211089463004 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 11089463004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15077637120).

11089463004 is an abundant number, since it is smaller than the sum of its proper divisors (19065811236).

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

11089463004 is a wasteful number, since it uses less digits than its factorization.

11089463004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1625 (or 1588 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 11089463004 in words is "eleven billion, eighty-nine million, four hundred sixty-three thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 29 36 54 58 83 87 108 116 166 174 249 261 332 348 498 522 747 783 841 996 1044 1471 1494 1566 1682 2241 2407 2523 2942 2988 3132 3364 4413 4482 4814 5046 5884 7221 7569 8826 8964 9628 10092 13239 14442 15138 17652 21663 22707 26478 28884 30276 39717 42659 43326 45414 52956 64989 69803 79434 85318 86652 90828 122093 127977 129978 139606 158868 170636 209409 244186 255954 259956 279212 366279 383931 418818 488372 511908 628227 732558 767862 837636 1098837 1151793 1237111 1256454 1465116 1535724 1884681 2197674 2303586 2474222 2512908 3296511 3540697 3711333 3769362 4395348 4607172 4948444 6593022 7081394 7422666 7538724 10622091 11133999 13186044 14162788 14845332 21244182 22267998 31866273 33401997 42488364 44535996 63732546 66803994 95598819 102680213 127465092 133607988 191197638 205360426 308040639 382395276 410720852 616081278 924121917 1232162556 1848243834 2772365751 3696487668 5544731502 11089463004