Search a number
-
+
45453214636632 = 233211177373235633
BaseRepresentation
bin10100101010110111001101…
…01101100101101001011000
312221221021200200100010210100
422111123212231211221120
521424201140421333012
6240400530223215400
712400613013463125
oct1225334655455130
9187837620303710
1045453214636632
1113534666777070
125121179747560
131c492b1a3171a
14b31d3966d74c
1553c520a1b8dc
hex2956e6b65a58

45453214636632 has 96 divisors (see below), whose sum is σ = 134301201587280. Its totient is φ = 13772920596480.

The previous prime is 45453214636607. The next prime is 45453214636657. The reversal of 45453214636632 is 23663641235454.

45453214636632 is a `hidden beast` number, since 4 + 5 + 4 + 532 + 1 + 46 + 3 + 6 + 63 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (45453214636607) and next prime (45453214636657).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12429888 + ... + 15665520.

Almost surely, 245453214636632 is an apocalyptic number.

It is an amenable number.

45453214636632 is an abundant number, since it is smaller than the sum of its proper divisors (88847986950648).

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

45453214636632 is a wasteful number, since it uses less digits than its factorization.

45453214636632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3253393 (or 3253386 counting only the distinct ones).

The product of its digits is 37324800, while the sum is 54.

The spelling of 45453214636632 in words is "forty-five trillion, four hundred fifty-three billion, two hundred fourteen million, six hundred thirty-six thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 17737 35474 53211 70948 106422 141896 159633 195107 212844 319266 390214 425688 585321 638532 780428 1170642 1277064 1560856 1755963 2341284 3235633 3511926 4682568 6471266 7023852 9706899 12942532 14047704 19413798 25885064 29120697 35591963 38827596 58241394 71183926 77655192 106775889 116482788 142367852 213551778 232965576 284735704 320327667 427103556 640655334 854207112 1281310668 2562621336 57390422521 114780845042 172171267563 229561690084 344342535126 459123380168 516513802689 631294647731 688685070252 1033027605378 1262589295462 1377370140504 1893883943193 2066055210756 2525178590924 3787767886386 4132110421512 5050357181848 5681651829579 7575535772772 11363303659158 15151071545544 22726607318316 45453214636632