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84613994328 = 233173114394649
BaseRepresentation
bin100111011001101100…
…0110001011101011000
322002101220011021022210
41032303120301131120
52341242140304303
6102512055315120
76053546041053
oct1166330613530
9262356137283
1084613994328
1132980437336
121449507baa0
137c96011a86
144149879a9a
1523035c8203
hex13b3631758

84613994328 has 128 divisors (see below), whose sum is σ = 231413760000. Its totient is φ = 25665884160.

The previous prime is 84613994263. The next prime is 84613994351. The reversal of 84613994328 is 82349931648.

It is a super-2 number, since 2×846139943282 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18198148 + ... + 18202796.

It is an arithmetic number, because the mean of its divisors is an integer number (1807920000).

Almost surely, 284613994328 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 84613994328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115706880000).

84613994328 is an abundant number, since it is smaller than the sum of its proper divisors (146799765672).

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

84613994328 is a wasteful number, since it uses less digits than its factorization.

84613994328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6145 (or 6141 counting only the distinct ones).

The product of its digits is 8957952, while the sum is 57.

The spelling of 84613994328 in words is "eighty-four billion, six hundred thirteen million, nine hundred ninety-four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 17 24 31 34 51 62 68 93 102 124 136 186 204 248 372 408 527 744 1054 1439 1581 2108 2878 3162 4216 4317 4649 5756 6324 8634 9298 11512 12648 13947 17268 18596 24463 27894 34536 37192 44609 48926 55788 73389 79033 89218 97852 111576 133827 144119 146778 158066 178436 195704 237099 267654 288238 293556 316132 356872 432357 474198 535308 576476 587112 632264 758353 864714 948396 1070616 1152952 1516706 1729428 1896792 2275059 2450023 3033412 3458856 4550118 4900046 6066824 6689911 7350069 9100236 9800092 13379822 14700138 18200472 19600184 20069733 26759644 29400276 40139466 53519288 58800552 80278932 113728487 160557864 207387241 227456974 341185461 414774482 454913948 622161723 682370922 829548964 909827896 1244323446 1364741844 1659097928 2488646892 2729483688 3525583097 4977293784 7051166194 10576749291 14102332388 21153498582 28204664776 42306997164 84613994328