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132253654425656 = 23232943797296193
BaseRepresentation
bin11110000100100010110100…
…000101111010000000111000
3122100021022210120102001102112
4132010202310011322000320
5114313320441013110111
61145140253505351452
736600003563230511
oct3604426405720070
9570238716361375
10132253654425656
113915a507094355
12129bb789338588
1358a460a03318a
14249317a939a08
15104534b102e8b
hex7848b417a038

132253654425656 has 128 divisors (see below), whose sum is σ = 277372111104000. Its totient is φ = 58895328780288.

The previous prime is 132253654425643. The next prime is 132253654425661. The reversal of 132253654425656 is 656524456352231.

132253654425656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132253654425595 and 132253654425604.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14478296 + ... + 21774488.

It is an arithmetic number, because the mean of its divisors is an integer number (2166969618000).

Almost surely, 2132253654425656 is an apocalyptic number.

It is an amenable number.

132253654425656 is an abundant number, since it is smaller than the sum of its proper divisors (145118456678344).

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

132253654425656 is a wasteful number, since it uses less digits than its factorization.

132253654425656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7296373 (or 7296369 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 59.

The spelling of 132253654425656 in words is "one hundred thirty-two trillion, two hundred fifty-three billion, six hundred fifty-four million, four hundred twenty-five thousand, six hundred fifty-six".

Divisors: 1 2 4 8 23 29 43 46 58 79 86 92 116 158 172 184 232 316 344 632 667 989 1247 1334 1817 1978 2291 2494 2668 3397 3634 3956 4582 4988 5336 6794 7268 7912 9164 9976 13588 14536 18328 27176 28681 52693 57362 78131 98513 105386 114724 156262 197026 210772 229448 312524 394052 421544 625048 788104 2265799 4531598 7296193 9063196 14592386 18126392 29184772 58369544 167812439 211589597 313736299 335624878 423179194 576399247 627472598 671249756 846358388 1152798494 1254945196 1342499512 1692716776 2305596988 2509890392 4611193976 4866560731 7215934877 9098352671 9733121462 13257182681 14431869754 16715578163 18196705342 19466242924 24785167621 26514365362 28863739508 33431156326 36393410684 38932485848 49570335242 53028730724 57727479016 66862312652 72786821368 99140670484 106057461448 133724625304 198281340968 209262111433 384458297749 418524222866 570058855283 718769861009 768916595498 837048445732 1140117710566 1437539722018 1537833190996 1674096891464 2280235421132 2875079444036 3075666381992 4560470842264 5750158888072 16531706803207 33063413606414 66126827212828 132253654425656