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8981731984 = 24192292432
BaseRepresentation
bin10000101110101101…
…00101101010010000
3212011221201021000011
420113112211222100
5121343310410414
64043125404304
7435401314351
oct102726455220
925157637004
108981731984
113899a541a5
1218a7b69694
13b01a55314
14612c1bd28
153787bddc4
hex2175a5a90

8981731984 has 135 divisors (see below), whose sum is σ = 19474012233. Its totient is φ = 4012267392.

The previous prime is 8981731963. The next prime is 8981731987. The reversal of 8981731984 is 4891371898.

The square root of 8981731984 is 94772.

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

It can be written as a sum of positive squares in only one way, i.e., 4709802384 + 4271929600 = 68628^2 + 65360^2 .

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8981731987) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 208877467 + ... + 208877509.

Almost surely, 28981731984 is an apocalyptic number.

8981731984 is the 94772-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8981731984

8981731984 is an abundant number, since it is smaller than the sum of its proper divisors (10492280249).

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

8981731984 is a wasteful number, since it uses less digits than its factorization.

8981731984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 93 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 58.

The cubic root of 8981731984 is about 2078.6754992201.

It can be divided in two parts, 89817 and 31984, that added together give a square (121801 = 3492).

The spelling of 8981731984 in words is "eight billion, nine hundred eighty-one million, seven hundred thirty-one thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 19 29 38 43 58 76 86 116 152 172 232 304 344 361 464 551 688 722 817 841 1102 1247 1444 1634 1682 1849 2204 2494 2888 3268 3364 3698 4408 4988 5776 6536 6728 7396 8816 9976 10469 13072 13456 14792 15523 15979 19952 20938 23693 29584 31046 31958 35131 36163 41876 47386 53621 62092 63916 70262 72326 83752 94772 107242 124184 127832 140524 144652 167504 189544 214484 248368 255664 281048 289304 303601 379088 428968 450167 562096 578608 607202 667489 687097 857936 900334 1018799 1214404 1334978 1374194 1555009 1800668 2037598 2428808 2669956 2748388 3110018 3601336 4075196 4857616 5339912 5496776 6220036 7202672 8150392 10679824 10993552 12440072 13054843 16300784 19357181 24880144 26109686 29545171 38714362 52219372 59090342 77428724 104438744 118180684 154857448 208877488 236361368 309714896 472722736 561358249 1122716498 2245432996 4490865992 8981731984