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2836340952240 = 2435643160911423
BaseRepresentation
bin101001010001100011000…
…110000100110010110000
3101001011002110220020112210
4221101203012010302300
5332432311240432430
610010555210052120
7411630113206125
oct51214306046260
911034073806483
102836340952240
119a3981584904
12399850a1a040
131776094aa783
149b3cb46274c
154dba692e2b0
hex29463184cb0

2836340952240 has 160 divisors (see below), whose sum is σ = 8812575959040. Its totient is φ = 754645874688.

The previous prime is 2836340952227. The next prime is 2836340952311. The reversal of 2836340952240 is 422590436382.

It is a super-2 number, since 2×28363409522402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 2836340952240.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 248295169 + ... + 248306591.

It is an arithmetic number, because the mean of its divisors is an integer number (55078599744).

Almost surely, 22836340952240 is an apocalyptic number.

2836340952240 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 2836340952240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4406287979520).

2836340952240 is an abundant number, since it is smaller than the sum of its proper divisors (5976235006800).

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

2836340952240 is a wasteful number, since it uses less digits than its factorization.

2836340952240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13691 (or 13685 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 2836340952240 in words is "two trillion, eight hundred thirty-six billion, three hundred forty million, nine hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 643 1286 1609 1929 2572 3215 3218 3858 4827 5144 6430 6436 7716 8045 9645 9654 10288 11423 12860 12872 15432 16090 19290 19308 22846 24135 25720 25744 30864 32180 34269 38580 38616 45692 48270 51440 57115 64360 68538 77160 77232 91384 96540 114230 128720 137076 154320 171345 182768 193080 228460 274152 342690 386160 456920 548304 685380 913840 1034587 1370760 2069174 2741520 3103761 4138348 5172935 6207522 7344989 8276696 10345870 12415044 14689978 15518805 16553392 18379607 20691740 22034967 24830088 29379956 31037610 36724945 36759214 41383480 44069934 49660176 55138821 58759912 62075220 73449890 73518428 82766960 88139868 91898035 110174835 110277642 117519824 124150440 146899780 147036856 176279736 183796070 220349670 220555284 248300880 275694105 293799560 294073712 352559472 367592140 440699340 441110568 551388210 587599120 735184280 881398680 882221136 1102776420 1470368560 1762797360 2205552840 4411105680 11818087301 23636174602 35454261903 47272349204 59090436505 70908523806 94544698408 118180873010 141817047612 177271309515 189089396816 236361746020 283634095224 354542619030 472723492040 567268190448 709085238060 945446984080 1418170476120 2836340952240