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8953322884 = 22114172232
BaseRepresentation
bin10000101011010100…
…01101110110000100
3212002222020221001021
420111222031312010
5121314022313014
64040232440524
7434604663112
oct102552156604
925088227037
108953322884
113884a10000
12189a549144
13ac8bb94bc
1460d144ab2
1537605b624
hex215a8dd84

8953322884 has 135 divisors (see below), whose sum is σ = 19139133685. Its totient is φ = 3663763840.

The previous prime is 8953322881. The next prime is 8953322887. The reversal of 8953322884 is 4882233598.

The square root of 8953322884 is 94622.

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

It is an interprime number because it is at equal distance from previous prime (8953322881) and next prime (8953322887).

It can be written as a sum of positive squares in only one way, i.e., 6970580100 + 1982742784 = 83490^2 + 44528^2 .

It is a Duffinian number.

Its product of digits (3317760) is a multiple of the sum of its prime factors (128).

It is not an unprimeable number, because it can be changed into a prime (8953322881) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 389274897 + ... + 389274919.

Almost surely, 28953322884 is an apocalyptic number.

8953322884 is the 94622-nd square number.

It is an amenable number.

8953322884 is an abundant number, since it is smaller than the sum of its proper divisors (10185810801).

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

8953322884 is a wasteful number, since it uses less digits than its factorization.

8953322884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 53 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 52.

The cubic root of 8953322884 is about 2076.4815767312.

The spelling of 8953322884 in words is "eight billion, nine hundred fifty-three million, three hundred twenty-two thousand, eight hundred eighty-four".

Divisors: 1 2 4 11 17 22 23 34 44 46 68 92 121 187 242 253 289 374 391 484 506 529 578 748 782 1012 1058 1156 1331 1564 2057 2116 2662 2783 3179 4114 4301 5324 5566 5819 6358 6647 8228 8602 8993 11132 11638 12716 13294 14641 17204 17986 22627 23276 26588 29282 30613 34969 35972 45254 47311 58564 61226 64009 69938 73117 90508 94622 98923 122452 128018 139876 146234 152881 189244 197846 248897 256036 292468 305762 336743 384659 395692 497794 520421 611524 673486 704099 769318 804287 995588 1040842 1088153 1346972 1408198 1538636 1608574 1681691 2081684 2176306 2816396 3217148 3363382 4231249 4352612 5724631 6726764 7745089 8462498 8847157 11449262 11969683 15490178 16924996 17694314 18498601 22898524 23939366 30980356 35388628 36997202 47878732 73994404 97318727 131666513 194637454 203484611 263333026 389274908 406969222 526666052 813938444 2238330721 4476661442 8953322884