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243968984820 = 2232511166374093
BaseRepresentation
bin1110001100110110101…
…1110100011011110100
3212022201121200112121200
43203031223310123310
512444122030003240
6304024450012500
723424531104061
oct3431553643364
9768647615550
10243968984820
119451514a290
123b348877130
131a010754062
14bb4584bc68
15652d606930
hex38cdaf46f4

243968984820 has 144 divisors (see below), whose sum is σ = 807811909632. Its totient is φ = 59107633920.

The previous prime is 243968984807. The next prime is 243968984849. The reversal of 243968984820 is 28489869342.

243968984820 is a `hidden beast` number, since 2 + 4 + 3 + 9 + 68 + 98 + 482 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3255694 + ... + 3329786.

It is an arithmetic number, because the mean of its divisors is an integer number (5609804928).

Almost surely, 2243968984820 is an apocalyptic number.

243968984820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 243968984820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (403905954816).

243968984820 is an abundant number, since it is smaller than the sum of its proper divisors (563842924812).

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

243968984820 is a wasteful number, since it uses less digits than its factorization.

243968984820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75782 (or 75777 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 63.

The spelling of 243968984820 in words is "two hundred forty-three billion, nine hundred sixty-eight million, nine hundred eighty-four thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1663 1980 3326 4989 6652 8315 9978 14967 16630 18293 19956 24945 29934 33260 36586 49890 54879 59868 73172 74093 74835 91465 99780 109758 148186 149670 164637 182930 219516 222279 274395 296372 299340 329274 365860 370465 444558 548790 658548 666837 740930 815023 823185 889116 1097580 1111395 1333674 1481860 1630046 1646370 2222790 2445069 2667348 3260092 3292740 3334185 4075115 4445580 4890138 6668370 7335207 8150230 9780276 12225345 13336740 14670414 16300460 24450690 29340828 36676035 48901380 73352070 123216659 146704140 246433318 369649977 492866636 616083295 739299954 1108949931 1232166590 1355383249 1478599908 1848249885 2217899862 2464333180 2710766498 3696499770 4066149747 4435799724 5421532996 5544749655 6776916245 7392999540 8132299494 11089499310 12198449241 13553832490 16264598988 20330748735 22178998620 24396898482 27107664980 40661497470 48793796964 60992246205 81322994940 121984492410 243968984820