Search a number
-
+
9979454088 = 23326121932
BaseRepresentation
bin10010100101101001…
…00110001010001000
3221202111002210102200
421102310212022020
5130414220012323
64330130200200
7502204650222
oct112264461210
927674083380
109979454088
11426116161a
121b26123060
13c30675726
146a9535412
153d61a0443
hex252d26288

9979454088 has 108 divisors (see below), whose sum is σ = 27621139455. Its totient is φ = 3254999040.

The previous prime is 9979454083. The next prime is 9979454137. The reversal of 9979454088 is 8804549799.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

9979454088 is a `hidden beast` number, since 9 + 9 + 7 + 9 + 4 + 540 + 88 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 79602084 + 9899852004 = 8922^2 + 99498^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=70638.

It is not an unprimeable number, because it can be changed into a prime (9979454081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 51706920 + ... + 51707112.

Almost surely, 29979454088 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 9979454088

9979454088 is an abundant number, since it is smaller than the sum of its proper divisors (17641685367).

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

9979454088 is a wasteful number, since it uses less digits than its factorization.

9979454088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 520 (or 259 counting only the distinct ones).

The product of its (nonzero) digits is 26127360, while the sum is 63.

The square root of 9979454088 is about 99897.2176189107. The cubic root of 9979454088 is about 2152.9581841794.

The spelling of 9979454088 in words is "nine billion, nine hundred seventy-nine million, four hundred fifty-four thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 193 244 366 386 488 549 579 732 772 1098 1158 1464 1544 1737 2196 2316 3474 3721 4392 4632 6948 7442 11163 11773 13896 14884 22326 23546 29768 33489 35319 37249 44652 47092 66978 70638 74498 89304 94184 105957 111747 133956 141276 148996 211914 223494 267912 282552 297992 335241 423828 446988 670482 718153 847656 893976 1340964 1436306 2154459 2272189 2681928 2872612 4308918 4544378 5745224 6463377 6816567 8617836 9088756 12926754 13633134 17235672 18177512 20449701 25853508 27266268 40899402 51707016 54532536 81798804 138603529 163597608 277207058 415810587 554414116 831621174 1108828232 1247431761 1663242348 2494863522 3326484696 4989727044 9979454088