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99634922500 = 22545921072
BaseRepresentation
bin101110011001010110…
…1000100010000000100
3100112011201200111001211
41130302231010100010
53113023020010000
6113434402101204
710125021603421
oct1346255042004
9315151614054
1099634922500
1139289352a63
121738764a804
13951aca7859
144b7278ad48
1528d21737ba
hex1732b44404

99634922500 has 135 divisors (see below), whose sum is σ = 223727883379. Its totient is φ = 38812324000.

The previous prime is 99634922483. The next prime is 99634922533. The reversal of 99634922500 is 522943699.

The square root of 99634922500 is 315650.

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

It can be written as a sum of positive squares in 2 ways, for example, as 7811377924 + 91823544576 = 88382^2 + 303024^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 931167447 + ... + 931167553.

Almost surely, 299634922500 is an apocalyptic number.

99634922500 is the 315650-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 99634922500

99634922500 is an abundant number, since it is smaller than the sum of its proper divisors (124092960879).

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

99634922500 is an equidigital number, since it uses as much as digits as its factorization.

99634922500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 49.

Multiplying 99634922500 by its sum of digits (49), we get a square (4882111202500 = 22095502).

The spelling of 99634922500 in words is "ninety-nine billion, six hundred thirty-four million, nine hundred twenty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 107 118 125 214 236 250 295 428 500 535 590 625 1070 1180 1250 1475 2140 2500 2675 2950 3481 5350 5900 6313 6962 7375 10700 11449 12626 13375 13924 14750 17405 22898 25252 26750 29500 31565 34810 36875 45796 53500 57245 63130 66875 69620 73750 87025 114490 126260 133750 147500 157825 174050 228980 267500 286225 315650 348100 372467 435125 572450 631300 675491 744934 789125 870250 1144900 1350982 1431125 1489868 1578250 1740500 1862335 2175625 2701964 2862250 3156500 3377455 3724670 3945625 4351250 5724500 6754910 7155625 7449340 7891250 8702500 9311675 13509820 14311250 15782500 16887275 18623350 28622500 33774550 37246700 39853969 46558375 67549100 79707938 84436375 93116750 159415876 168872750 186233500 199269845 232791875 337745500 398539690 422181875 465583750 797079380 844363750 931167500 996349225 1688727500 1992698450 3985396900 4981746125 9963492250 19926984500 24908730625 49817461250 99634922500