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858109711872 = 2937122365257
BaseRepresentation
bin11000111110010110101…
…00110001011000000000
310001000221010210221220110
430133023110301120000
5103024402041234442
61454113221111320
7115665521126430
oct14371324613000
93030833727813
10858109711872
11300a1661a366
1211a383258540
1362bc4bc367a
142d765b5c2c0
15174c4b0469c
hexc7cb531600

858109711872 has 160 divisors (see below), whose sum is σ = 2614813926912. Its totient is φ = 244969979904.

The previous prime is 858109711819. The next prime is 858109711883. The reversal of 858109711872 is 278117901858.

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 15 ways as a sum of consecutive naturals, for example, 13117068 + ... + 13182324.

Almost surely, 2858109711872 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 858109711872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1307406963456).

858109711872 is an abundant number, since it is smaller than the sum of its proper divisors (1756704215040).

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

858109711872 is a wasteful number, since it uses less digits than its factorization.

858109711872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 66508 (or 66492 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 57.

The spelling of 858109711872 in words is "eight hundred fifty-eight billion, one hundred nine million, seven hundred eleven thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1223 1344 1536 1792 2446 2688 3584 3669 4892 5376 7338 8561 9784 10752 14676 17122 19568 25683 29352 34244 39136 51366 58704 65257 68488 78272 102732 117408 130514 136976 156544 195771 205464 234816 261028 273952 313088 391542 410928 456799 469632 522056 547904 626176 783084 821856 913598 939264 1044112 1095808 1370397 1566168 1643712 1827196 1878528 2088224 2191616 2740794 3132336 3287424 3654392 4176448 4383232 5481588 6264672 6574848 7308784 8352896 10963176 12529344 13149696 14617568 16705792 21926352 25058688 29235136 33411584 43852704 50117376 58470272 79809311 87705408 100234752 116940544 159618622 175410816 233881088 239427933 319237244 350821632 478855866 558665177 638474488 701643264 957711732 1117330354 1276948976 1675995531 1915423464 2234660708 2553897952 3351991062 3830846928 4469321416 5107795904 6703982124 7661693856 8938642832 10215591808 13407964248 15323387712 17877285664 20431183616 26815928496 30646775424 35754571328 40862367232 53631856992 61293550848 71509142656 107263713984 122587101696 143018285312 214527427968 286036570624 429054855936 858109711872