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85900010328 = 233311172126659
BaseRepresentation
bin101000000000000001…
…0100010001101011000
322012201112000122122000
41100000002202031120
52401410400312303
6103243435201000
76130453016616
oct1200002421530
9265645018560
1085900010328
1133480353180
12147938a6160
13813c5919a2
14422c59a6b6
15237b454da3
hex14000a2358

85900010328 has 128 divisors (see below), whose sum is σ = 275615136000. Its totient is φ = 24499100160.

The previous prime is 85900010299. The next prime is 85900010341. The reversal of 85900010328 is 82301000958.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 85900010292 and 85900010301.

It is a congruent number.

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, 1022938 + ... + 1103721.

It is an arithmetic number, because the mean of its divisors is an integer number (2153243250).

Almost surely, 285900010328 is an apocalyptic number.

85900010328 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

85900010328 is an abundant number, since it is smaller than the sum of its proper divisors (189715125672).

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

85900010328 is a wasteful number, since it uses less digits than its factorization.

85900010328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2126702 (or 2126692 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 85900010328 in words is "eighty-five billion, nine hundred million, ten thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 17 18 22 24 27 33 34 36 44 51 54 66 68 72 88 99 102 108 132 136 153 187 198 204 216 264 297 306 374 396 408 459 561 594 612 748 792 918 1122 1188 1224 1496 1683 1836 2244 2376 3366 3672 4488 5049 6732 10098 13464 20196 40392 2126659 4253318 6379977 8506636 12759954 17013272 19139931 23393249 25519908 36153203 38279862 46786498 51039816 57419793 70179747 72306406 76559724 93572996 108459609 114839586 140359494 144612812 153119448 187145992 210539241 216919218 229679172 280718988 289225624 325378827 397685233 421078482 433838436 459358344 561437976 631617723 650757654 795370466 842156964 867676872 976136481 1193055699 1263235446 1301515308 1590740932 1684313928 1952272962 2386111398 2526470892 2603030616 3181481864 3579167097 3904545924 4772222796 5052941784 7158334194 7809091848 9544445592 10737501291 14316668388 21475002582 28633336776 42950005164 85900010328