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85679014512 = 24371323852833
BaseRepresentation
bin100111111001011011…
…1100000001001110000
322012011010011220100210
41033302313200021300
52400432311431022
6103205502344120
76122130415140
oct1176267401160
9265133156323
1085679014512
113337762a803
121473188b040
138105865c30
14420b0b0920
152366d4ea0c
hex13f2de0270

85679014512 has 160 divisors (see below), whose sum is σ = 284259806208. Its totient is φ = 21614174208.

The previous prime is 85679014511. The next prime is 85679014613. The reversal of 85679014512 is 21541097658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85679014511) 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, 325953 + ... + 526880.

Almost surely, 285679014512 is an apocalyptic number.

It is an amenable number.

85679014512 is an abundant number, since it is smaller than the sum of its proper divisors (198580791696).

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

85679014512 is a wasteful number, since it uses less digits than its factorization.

85679014512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852887 (or 852881 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 48.

The spelling of 85679014512 in words is "eighty-five billion, six hundred seventy-nine million, fourteen thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 23 24 26 28 39 42 46 48 52 56 69 78 84 91 92 104 112 138 156 161 168 182 184 208 273 276 299 312 322 336 364 368 483 546 552 598 624 644 728 897 966 1092 1104 1196 1288 1456 1794 1932 2093 2184 2392 2576 3588 3864 4186 4368 4784 6279 7176 7728 8372 12558 14352 16744 25116 33488 50232 100464 852833 1705666 2558499 3411332 5116998 5969831 6822664 10233996 11086829 11939662 13645328 17909493 19615159 20467992 22173658 23879324 33260487 35818986 39230318 40935984 44347316 47758648 58845477 66520974 71637972 77607803 78460636 88694632 95517296 117690954 133041948 137306113 143275944 155215606 156921272 177389264 232823409 235381908 254997067 266083896 274612226 286551888 310431212 313842544 411918339 465646818 470763816 509994134 532167792 549224452 620862424 764991201 823836678 931293636 941527632 1019988268 1098448904 1241724848 1529982402 1647673356 1784979469 1862587272 2039976536 2196897808 3059964804 3295346712 3569958938 3725174544 4079953072 5354938407 6119929608 6590693424 7139917876 10709876814 12239859216 14279835752 21419753628 28559671504 42839507256 85679014512