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3252063566040 = 23351031092413871
BaseRepresentation
bin101111010100101110000…
…101111111100011011000
3102111220010220100011000020
4233110232011333203120
5411240211233103130
610525551040310440
7453645111134262
oct57245605774330
912456126304006
103252063566040
111044213113703
12446331612420
131a788c291293
14b35877ccb32
15598d87c9e10
hex2f52e17f8d8

3252063566040 has 128 divisors (see below), whose sum is σ = 9941290444800. Its totient is φ = 850918141440.

The previous prime is 3252063566027. The next prime is 3252063566107. The reversal of 3252063566040 is 406653602523.

It is a junction number, because it is equal to n+sod(n) for n = 3252063565983 and 3252063566001.

It is a congruent number.

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, 140305 + ... + 2554175.

It is an arithmetic number, because the mean of its divisors is an integer number (77666331600).

Almost surely, 23252063566040 is an apocalyptic number.

3252063566040 is a gapful number since it is divisible by the number (30) 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 3252063566040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4970645222400).

3252063566040 is an abundant number, since it is smaller than the sum of its proper divisors (6689226878760).

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

3252063566040 is a wasteful number, since it uses less digits than its factorization.

3252063566040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2414097 (or 2414093 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 3252063566040 in words is "three trillion, two hundred fifty-two billion, sixty-three million, five hundred sixty-six thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 109 120 206 218 309 327 412 436 515 545 618 654 824 872 1030 1090 1236 1308 1545 1635 2060 2180 2472 2616 3090 3270 4120 4360 6180 6540 11227 12360 13080 22454 33681 44908 56135 67362 89816 112270 134724 168405 224540 269448 336810 449080 673620 1347240 2413871 4827742 7241613 9655484 12069355 14483226 19310968 24138710 28966452 36208065 48277420 57932904 72416130 96554840 144832260 248628713 263111939 289664520 497257426 526223878 745886139 789335817 994514852 1052447756 1243143565 1315559695 1491772278 1578671634 1989029704 2104895512 2486287130 2631119390 2983544556 3157343268 3729430695 3946679085 4972574260 5262238780 5967089112 6314686536 7458861390 7893358170 9945148520 10524477560 14917722780 15786716340 27100529717 29835445560 31573432680 54201059434 81301589151 108402118868 135502648585 162603178302 216804237736 271005297170 325206356604 406507945755 542010594340 650412713208 813015891510 1084021188680 1626031783020 3252063566040