Search a number
-
+
4335245145504 = 2532713165416863
BaseRepresentation
bin111111000101100000101…
…111110011010110100000
3120100110000200120122000200
4333011200233303112200
51032012040224124004
613115330100545200
7625132262504640
oct77054057632640
916313020518020
104335245145504
111421626957399
125a02489b2200
13255a72880c10
1410db81362520
1577b829c0239
hex3f160bf35a0

4335245145504 has 144 divisors (see below), whose sum is σ = 15173358100992. Its totient is φ = 1143361350144.

The previous prime is 4335245145499. The next prime is 4335245145523. The reversal of 4335245145504 is 4055415425334.

4335245145504 is a `hidden beast` number, since 4 + 3 + 3 + 52 + 4 + 51 + 45 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 4335245145504.

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, 82682224 + ... + 82734639.

It is an arithmetic number, because the mean of its divisors is an integer number (105370542368).

Almost surely, 24335245145504 is an apocalyptic number.

It is an amenable number.

4335245145504 is an abundant number, since it is smaller than the sum of its proper divisors (10838112955488).

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

4335245145504 is a wasteful number, since it uses less digits than its factorization.

4335245145504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165416899 (or 165416888 counting only the distinct ones).

The product of its (nonzero) digits is 2880000, while the sum is 45.

The spelling of 4335245145504 in words is "four trillion, three hundred thirty-five billion, two hundred forty-five million, one hundred forty-five thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 13 14 16 18 21 24 26 28 32 36 39 42 48 52 56 63 72 78 84 91 96 104 112 117 126 144 156 168 182 208 224 234 252 273 288 312 336 364 416 468 504 546 624 672 728 819 936 1008 1092 1248 1456 1638 1872 2016 2184 2912 3276 3744 4368 6552 8736 13104 26208 165416863 330833726 496250589 661667452 992501178 1157918041 1323334904 1488751767 1985002356 2150419219 2315836082 2646669808 2977503534 3473754123 3970004712 4300838438 4631672164 5293339616 5955007068 6451257657 6947508246 7940009424 8601676876 9263344328 10421262369 11910014136 12902515314 13895016492 15052934533 15880018848 17203353752 18526688656 19353772971 20842524738 23820028272 25805030628 27790032984 30105869066 34406707504 37053377312 38707545942 41685049476 45158803599 47640056544 51610061256 55580065968 60211738132 68813415008 77415091884 83370098952 90317607198 103220122512 111160131936 120423476264 135476410797 154830183768 166740197904 180635214396 206440245024 240846952528 270952821594 309660367536 333480395808 361270428792 481693905056 541905643188 619320735072 722540857584 1083811286376 1445081715168 2167622572752 4335245145504