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1663551252 = 22321117614051
BaseRepresentation
bin110001100100111…
…1100011100010100
311021221021011022100
41203021330130110
511401332120002
6433023402100
756136644436
oct14311743424
94257234270
101663551252
11784038750
123a5153330
1320685726c
1411ad18656
159b0a411c
hex6327c714

1663551252 has 144 divisors (see below), whose sum is σ = 4938058944. Its totient is φ = 466560000.

The previous prime is 1663551223. The next prime is 1663551287. The reversal of 1663551252 is 2521553661.

1663551252 is a `hidden beast` number, since 1 + 6 + 635 + 5 + 12 + 5 + 2 = 666.

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

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, 408627 + ... + 412677.

It is an arithmetic number, because the mean of its divisors is an integer number (34292076).

Almost surely, 21663551252 is an apocalyptic number.

1663551252 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 1663551252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469029472).

1663551252 is an abundant number, since it is smaller than the sum of its proper divisors (3274507692).

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

1663551252 is a wasteful number, since it uses less digits than its factorization.

1663551252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4150 (or 4145 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

The square root of 1663551252 is about 40786.6553176404. The cubic root of 1663551252 is about 1184.8918942132.

The spelling of 1663551252 in words is "one billion, six hundred sixty-three million, five hundred fifty-one thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 61 66 68 99 102 122 132 153 183 187 198 204 244 306 366 374 396 549 561 612 671 732 748 1037 1098 1122 1342 1683 2013 2074 2196 2244 2684 3111 3366 4026 4051 4148 6039 6222 6732 8052 8102 9333 11407 12078 12153 12444 16204 18666 22814 24156 24306 34221 36459 37332 44561 45628 48612 68442 68867 72918 89122 102663 133683 136884 137734 145836 178244 205326 206601 247111 267366 275468 401049 410652 413202 494222 534732 619803 741333 757537 802098 826404 988444 1239606 1482666 1515074 1604196 2223999 2272611 2479212 2718221 2965332 3030148 4200887 4447998 4545222 5436442 6817833 8154663 8401774 8895996 9090444 10872884 12602661 13635666 16309326 16803548 24463989 25205322 27271332 32618652 37807983 46209757 48927978 50410644 75615966 92419514 97855956 138629271 151231932 184839028 277258542 415887813 554517084 831775626 1663551252