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99005513420 = 225112324120749
BaseRepresentation
bin101110000110100110…
…0000011111011001100
3100110112212100012010102
41130031030003323030
53110230402412140
6113252115430232
710103306656502
oct1341514037314
9313485305112
1099005513420
1138a96038670
12172308b5378
13944a782c48
144b12d4a672
152896c96e15
hex170d303ecc

99005513420 has 144 divisors (see below), whose sum is σ = 242897508000. Its totient is φ = 33595161600.

The previous prime is 99005513407. The next prime is 99005513423. The reversal of 99005513420 is 2431550099.

It is not an unprimeable number, because it can be changed into a prime (99005513423) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4761206 + ... + 4781954.

It is an arithmetic number, because the mean of its divisors is an integer number (1686788250).

Almost surely, 299005513420 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 99005513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121448754000).

99005513420 is an abundant number, since it is smaller than the sum of its proper divisors (143891994580).

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

99005513420 is a wasteful number, since it uses less digits than its factorization.

99005513420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20856 (or 20831 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 38.

The spelling of 99005513420 in words is "ninety-nine billion, five million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 23 41 44 46 55 82 92 110 115 164 205 220 230 253 410 451 460 506 529 820 902 943 1012 1058 1265 1804 1886 2116 2255 2530 2645 3772 4510 4715 5060 5290 5819 9020 9430 10373 10580 11638 18860 20746 20749 21689 23276 29095 41492 41498 43378 51865 58190 82996 86756 103730 103745 108445 116380 207460 207490 216890 228239 238579 414980 433780 456478 477158 477227 850709 912956 954316 954454 1141195 1192895 1701418 1908908 2282390 2385790 2386135 3402836 4253545 4564780 4771580 4772270 5249497 8507090 9357799 9544540 10498994 10976221 17014180 18715598 19566307 20997988 21952442 26247485 37431196 39132614 43904884 46788995 52494970 54881105 78265228 93577990 97831535 104989940 109762210 120738431 187155980 195663070 215229377 219524420 241476862 391326140 430458754 450025061 482953724 603692155 860917508 900050122 1076146885 1207384310 1800100244 2152293770 2250125305 2414768620 4304587540 4500250610 4950275671 9000501220 9900551342 19801102684 24751378355 49502756710 99005513420