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98532413952 = 293759915299
BaseRepresentation
bin101101111000011111…
…1010101001000000000
3100102022220010020122220
41123300333111020000
53103243244221302
6113133135331040
710055503461660
oct1336077251000
9312286106586
1098532413952
1138872a84a75
121711a380a80
1393a375912b
144aaa1981a0
15286a4944bc
hex16f0fd5200

98532413952 has 160 divisors (see below), whose sum is σ = 300516480000. Its totient is φ = 28103282688.

The previous prime is 98532413939. The next prime is 98532413989. The reversal of 98532413952 is 25931423589.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 98532413895 and 98532413904.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6432799 + ... + 6448097.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228000).

Almost surely, 298532413952 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 98532413952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240000).

98532413952 is an abundant number, since it is smaller than the sum of its proper divisors (201984066048).

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

98532413952 is a wasteful number, since it uses less digits than its factorization.

98532413952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15926 (or 15910 counting only the distinct ones).

The product of its digits is 2332800, while the sum is 51.

The spelling of 98532413952 in words is "ninety-eight billion, five hundred thirty-two million, four hundred thirteen thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 599 672 768 896 1198 1344 1536 1792 1797 2396 2688 3584 3594 4193 4792 5376 7188 8386 9584 10752 12579 14376 15299 16772 19168 25158 28752 30598 33544 38336 45897 50316 57504 61196 67088 76672 91794 100632 107093 115008 122392 134176 153344 183588 201264 214186 230016 244784 268352 306688 321279 367176 402528 428372 460032 489568 536704 642558 734352 805056 856744 920064 979136 1073408 1285116 1468704 1610112 1713488 1958272 2146816 2570232 2937408 3220224 3426976 3916544 5140464 5874816 6440448 6853952 7833088 9164101 10280928 11749632 13707904 18328202 20561856 23499264 27415808 27492303 36656404 41123712 54831616 54984606 64148707 73312808 82247424 109969212 128297414 146625616 164494848 192446121 219938424 256594828 293251232 384892242 439876848 513189656 586502464 769784484 879753696 1026379312 1173004928 1539568968 1759507392 2052758624 2346009856 3079137936 3519014784 4105517248 4692019712 6158275872 7038029568 8211034496 12316551744 14076059136 16422068992 24633103488 32844137984 49266206976 98532413952