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85857011856 = 24337112581079
BaseRepresentation
bin100111111110101111…
…0100000100010010000
322012121112010002211000
41033331132200202100
52401313343334411
6103235301422000
76126421362630
oct1177536404220
9265545102730
1085857011856
1133459054850
121478140a900
1381336b83c5
1442269a66c0
1523777ae956
hex13fd7a0890

85857011856 has 160 divisors (see below), whose sum is σ = 307251763200. Its totient is φ = 22300513920.

The previous prime is 85857011833. The next prime is 85857011861. The reversal of 85857011856 is 65811075858.

85857011856 is a `hidden beast` number, since 8 + 5 + 8 + 570 + 1 + 18 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1257276 + ... + 1323803.

It is an arithmetic number, because the mean of its divisors is an integer number (1920323520).

Almost surely, 285857011856 is an apocalyptic number.

It is an amenable number.

85857011856 is an abundant number, since it is smaller than the sum of its proper divisors (221394751344).

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

85857011856 is a wasteful number, since it uses less digits than its factorization.

85857011856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2581114 (or 2581102 counting only the distinct ones).

The product of its (nonzero) digits is 2688000, while the sum is 54.

The spelling of 85857011856 in words is "eighty-five billion, eight hundred fifty-seven million, eleven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 27 28 33 36 42 44 48 54 56 63 66 72 77 84 88 99 108 112 126 132 144 154 168 176 189 198 216 231 252 264 297 308 336 378 396 432 462 504 528 594 616 693 756 792 924 1008 1188 1232 1386 1512 1584 1848 2079 2376 2772 3024 3696 4158 4752 5544 8316 11088 16632 33264 2581079 5162158 7743237 10324316 15486474 18067553 20648632 23229711 28391869 30972948 36135106 41297264 46459422 54202659 56783738 61945896 69689133 72270212 85175607 92918844 108405318 113567476 123891792 139378266 144540424 162607977 170351214 185837688 198743083 216810636 227134952 255526821 278756532 289080848 325215954 340702428 371675376 397486166 433621272 454269904 487823931 511053642 557513064 596229249 650431908 681404856 766580463 794972332 867242544 975647862 1022107284 1115026128 1192458498 1300863816 1362809712 1533160926 1589944664 1788687747 1951295724 2044214568 2384916996 2601727632 3066321852 3179889328 3577375494 3902591448 4088429136 4769833992 5366063241 6132643704 7154750988 7805182896 9539667984 10732126482 12265287408 14309501976 21464252964 28619003952 42928505928 85857011856