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3132565890216 = 2337307182333317
BaseRepresentation
bin101101100101011011011…
…110100010010010101000
3102002110200220101020201220
4231211123132202102220
5402310443331441331
610355025250342040
7442214621505660
oct55453336422250
912073626336656
103132565890216
11aa8571863134
12427141b8a920
13199527193b69
14ab88d0851a0
155674299b296
hex2d95b7a24a8

3132565890216 has 128 divisors (see below), whose sum is σ = 8984537210880. Its totient is φ = 891587333376.

The previous prime is 3132565890203. The next prime is 3132565890227. The reversal of 3132565890216 is 6120985652313.

3132565890216 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 94006390 + ... + 94039706.

It is an arithmetic number, because the mean of its divisors is an integer number (70191696960).

Almost surely, 23132565890216 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 3132565890216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4492268605440).

3132565890216 is an abundant number, since it is smaller than the sum of its proper divisors (5851971320664).

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

3132565890216 is a wasteful number, since it uses less digits than its factorization.

3132565890216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35463 (or 35459 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 51.

The spelling of 3132565890216 in words is "three trillion, one hundred thirty-two billion, five hundred sixty-five million, eight hundred ninety thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 307 614 921 1228 1823 1842 2149 2456 3646 3684 4298 5469 6447 7292 7368 8596 10938 12761 12894 14584 17192 21876 25522 25788 33317 38283 43752 51044 51576 66634 76566 99951 102088 133268 153132 199902 233219 266536 306264 399804 466438 559661 699657 799608 932876 1119322 1399314 1678983 1865752 2238644 2798628 3357966 3917627 4477288 5597256 6715932 7835254 10228319 11752881 13431864 15670508 20456638 23505762 30684957 31341016 40913276 47011524 60736891 61369914 71598233 81826552 94023048 121473782 122739828 143196466 182210673 214794699 242947564 245479656 286392932 364421346 425158237 429589398 485895128 572785864 728842692 850316474 859178796 1275474711 1457685384 1700632948 1718357592 2550949422 3401265896 5101898844 10203797688 18646225537 37292451074 55938676611 74584902148 111877353222 130523578759 149169804296 223754706444 261047157518 391570736277 447509412888 522094315036 783141472554 1044188630072 1566282945108 3132565890216