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8982665472 = 283111676367
BaseRepresentation
bin10000101110110100…
…01001100100000000
3212012000110200111210
420113122021210000
5121344030243342
64043201410120
7435412253034
oct102732114400
925160420453
108982665472
11389a531580
1218a8339940
13b01cc1191
14612dc21c4
1537890579c
hex217689900

8982665472 has 144 divisors (see below), whose sum is σ = 26240643072. Its totient is φ = 2705295360.

The previous prime is 8982665467. The next prime is 8982665507. The reversal of 8982665472 is 2745662898.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1407633 + ... + 1413999.

It is an arithmetic number, because the mean of its divisors is an integer number (182226688).

Almost surely, 28982665472 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 8982665472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13120321536).

8982665472 is an abundant number, since it is smaller than the sum of its proper divisors (17257977600).

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

8982665472 is a wasteful number, since it uses less digits than its factorization.

8982665472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6564 (or 6550 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 8982665472 is about 94776.9247865745. The cubic root of 8982665472 is about 2078.7475102538.

The spelling of 8982665472 in words is "eight billion, nine hundred eighty-two million, six hundred sixty-five thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 167 176 192 256 264 334 352 384 501 528 668 704 768 1002 1056 1336 1408 1837 2004 2112 2672 2816 3674 4008 4224 5344 5511 6367 7348 8016 8448 10688 11022 12734 14696 16032 19101 21376 22044 25468 29392 32064 38202 42752 44088 50936 58784 64128 70037 76404 88176 101872 117568 128256 140074 152808 176352 203744 210111 235136 280148 305616 352704 407488 420222 470272 560296 611232 705408 814976 840444 1063289 1120592 1222464 1410816 1629952 1680888 2126578 2241184 2444928 3189867 3361776 4253156 4482368 4889856 6379734 6723552 8506312 8964736 11696179 12759468 13447104 17012624 17929472 23392358 25518936 26894208 34025248 35088537 46784716 51037872 53788416 68050496 70177074 93569432 102075744 136100992 140354148 187138864 204151488 272201984 280708296 374277728 408302976 561416592 748555456 816605952 1122833184 1497110912 2245666368 2994221824 4491332736 8982665472