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875305643064 = 233193767776631
BaseRepresentation
bin11001011110011000100…
…10000010110000111000
310002200022112222202212220
430233030102002300320
5103320111221034224
61510035421404040
7120144614130546
oct14571422026070
93080275882786
10875305643064
11308240241a46
12121782109620
1364705678098
1430517880d96
1517b7e5d0279
hexcbcc482c38

875305643064 has 128 divisors (see below), whose sum is σ = 2369216217600. Its totient is φ = 268540945920.

The previous prime is 875305643059. The next prime is 875305643071. The reversal of 875305643064 is 460346503578.

It is a junction number, because it is equal to n+sod(n) for n = 875305642998 and 875305643016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11384029 + ... + 11460659.

It is an arithmetic number, because the mean of its divisors is an integer number (18509501700).

Almost surely, 2875305643064 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 875305643064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1184608108800).

875305643064 is an abundant number, since it is smaller than the sum of its proper divisors (1493910574536).

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

875305643064 is a wasteful number, since it uses less digits than its factorization.

875305643064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77373 (or 77369 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 51.

The spelling of 875305643064 in words is "eight hundred seventy-five billion, three hundred five million, six hundred forty-three thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 19 24 37 38 57 74 76 111 114 148 152 222 228 296 444 456 677 703 888 1354 1406 2031 2109 2708 2812 4062 4218 5416 5624 8124 8436 12863 16248 16872 25049 25726 38589 50098 51452 75147 76631 77178 100196 102904 150294 153262 154356 200392 229893 300588 306524 308712 459786 475931 601176 613048 919572 951862 1427793 1455989 1839144 1903724 2835347 2855586 2911978 3807448 4367967 5670694 5711172 5823956 8506041 8735934 11341388 11422344 11647912 17012082 17471868 22682776 34024164 34943736 51879187 53871593 68048328 103758374 107743186 155637561 161614779 207516748 215486372 311275122 323229558 415033496 430972744 622550244 646459116 985704553 1245100488 1292918232 1919529919 1971409106 2957113659 3839059838 3942818212 5758589757 5914227318 7678119676 7885636424 11517179514 11828454636 15356239352 23034359028 23656909272 36471068461 46068718056 72942136922 109413205383 145884273844 218826410766 291768547688 437652821532 875305643064