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80710174338102 = 23317592396234989
BaseRepresentation
bin10010010110011111001101…
…010001010110110000110110
3101120202211001211011100102000
4102112133031101112300312
541034323414112304402
6443353424153200130
723000055234313221
oct2226371521266066
9346684054140360
1080710174338102
1123797aa1338621
12907620a100046
133605c2415a35a
1415d05712405b8
1594e6cbd39c1c
hex4967cd456c36

80710174338102 has 128 divisors (see below), whose sum is σ = 193933128960000. Its totient is φ = 24787519013376.

The previous prime is 80710174338083. The next prime is 80710174338103. The reversal of 80710174338102 is 20183347101708.

80710174338102 is a `hidden beast` number, since 8 + 0 + 7 + 101 + 7 + 433 + 8 + 102 = 666.

It is a super-2 number, since 2×807101743381022 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80710174338103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9827224 + ... + 16062212.

It is an arithmetic number, because the mean of its divisors is an integer number (1515102570000).

Almost surely, 280710174338102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80710174338102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96966564480000).

80710174338102 is an abundant number, since it is smaller than the sum of its proper divisors (113222954621898).

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

80710174338102 is a wasteful number, since it uses less digits than its factorization.

80710174338102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6235315 (or 6235309 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 80710174338102 in words is "eighty trillion, seven hundred ten billion, one hundred seventy-four million, three hundred thirty-eight thousand, one hundred two".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 59 102 118 153 177 239 306 354 459 478 531 717 918 1003 1062 1434 1593 2006 2151 3009 3186 4063 4302 6018 6453 8126 9027 12189 12906 14101 18054 24378 27081 28202 36567 42303 54162 73134 84606 109701 126909 219402 239717 253818 380727 479434 719151 761454 1438302 2157453 4314906 6234989 6472359 12469978 12944718 18704967 37409934 56114901 105994813 112229802 168344703 211989626 317984439 336689406 367864351 635968878 735728702 953953317 1103593053 1490162371 1907906634 2207186106 2861859951 2980324742 3310779159 4470487113 5723719902 6253693967 6621558318 8940974226 9932337477 12507387934 13411461339 18761081901 19864674954 25332760307 26822922678 37522163802 40234384017 50665520614 56283245703 75998280921 80468768034 87919579889 112566491406 151996561842 168849737109 175839159778 227994842763 263758739667 337699474218 455989685526 527517479334 683984528289 791276219001 1367969056578 1494632858113 1582552438002 2373828657003 2989265716226 4483898574339 4747657314006 8967797148678 13451695723017 26903391446034 40355087169051 80710174338102