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85836726463720 = 23531991413316901
BaseRepresentation
bin10011100001000101101011…
…100101101110110011101000
3102020220220121001102112221211
4103201011223211232303220
542222322103433314340
6502320503041042504
724036333046353001
oct2341055345566350
9366826531375854
1085836726463720
112539417336a151
129763896026434
1338b84a39aa58b
14172a73c1c21a8
159dcc2485c5ea
hex4e116b96ece8

85836726463720 has 128 divisors (see below), whose sum is σ = 199623988961280. Its totient is φ = 33183596160000.

The previous prime is 85836726463687. The next prime is 85836726463723. The reversal of 85836726463720 is 2736462763858.

It is a super-2 number, since 2×858367264637202 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85836726463723) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5078787270 + ... + 5078804170.

It is an arithmetic number, because the mean of its divisors is an integer number (1559562413760).

Almost surely, 285836726463720 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 85836726463720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99811994480640).

85836726463720 is an abundant number, since it is smaller than the sum of its proper divisors (113787262497560).

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

85836726463720 is a wasteful number, since it uses less digits than its factorization.

85836726463720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22067 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 487710720, while the sum is 67.

The spelling of 85836726463720 in words is "eighty-five trillion, eight hundred thirty-six billion, seven hundred twenty-six million, four hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 248 310 620 991 1240 1982 3964 4133 4955 7928 8266 9910 16532 16901 19820 20665 30721 33064 33802 39640 41330 61442 67604 82660 84505 122884 128123 135208 153605 165320 169010 245768 256246 307210 338020 512492 523931 614420 640615 676040 1024984 1047862 1228840 1281230 2095724 2562460 2619655 4095803 4191448 5124920 5239310 8191606 10478620 16383212 16748891 20479015 20957240 32766424 33497782 40958030 66995564 69851833 81916060 83744455 126969893 133991128 139703666 163832120 167488910 253939786 279407332 334977820 349259165 507879572 519215621 558814664 634849465 669955640 698518330 1015759144 1038431242 1269698930 1397036660 2076862484 2165406823 2539397860 2596078105 2794073320 4153724968 4330813646 5078795720 5192156210 8661627292 10384312420 10827034115 17323254584 20768624840 21654068230 43308136460 69223166503 86616272920 138446333006 276892666012 346115832515 553785332024 692231665030 1384463330060 2145918161593 2768926660120 4291836323186 8583672646372 10729590807965 17167345292744 21459181615930 42918363231860 85836726463720