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8135755016752 = 24111031975873881
BaseRepresentation
bin111011001100100000011…
…0010011010101000110000
31001210202210202101210022201
41312121000302122220300
52031244011241014002
625145303025112544
71466534410423126
oct166310062325060
931722722353281
108135755016752
112657399676660
12ab491ba88754
13470276b8a63c
14201ab61c5916
15e196a16e087
hex76640c9aa30

8135755016752 has 160 divisors (see below), whose sum is σ = 17485349865984. Its totient is φ = 3636432844800.

The previous prime is 8135755016737. The next prime is 8135755016777. The reversal of 8135755016752 is 2576105575318.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 8135755016693 and 8135755016702.

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, 2096301852 + ... + 2096305732.

Almost surely, 28135755016752 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 8135755016752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8742674932992).

8135755016752 is an abundant number, since it is smaller than the sum of its proper divisors (9349594849232).

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

8135755016752 is a wasteful number, since it uses less digits than its factorization.

8135755016752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4787 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 8820000, while the sum is 55.

The spelling of 8135755016752 in words is "eight trillion, one hundred thirty-five billion, seven hundred fifty-five million, sixteen thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 44 88 103 176 197 206 394 412 587 788 824 1133 1174 1576 1648 2167 2266 2348 3152 3881 4334 4532 4696 6457 7762 8668 9064 9392 12914 15524 17336 18128 20291 25828 31048 34672 40582 42691 51656 60461 62096 81164 85382 103312 115639 120922 162328 170764 223201 231278 241844 324656 341528 399743 446402 462556 483688 665071 683056 764557 799486 892804 925112 967376 1272029 1330142 1529114 1598972 1785608 1850224 2278147 2544058 2660284 3058228 3197944 3571216 4397173 4556294 5088116 5320568 6116456 6395888 8410127 8794346 9112588 10176232 10641136 11910817 12232912 16820254 17588692 18225176 20352464 23821634 25059617 33640508 35177384 36450352 47643268 50119234 67281016 70354768 78749371 95286536 100238468 131018987 134562032 157498742 190573072 200476936 234649141 262037974 314997484 400953872 448794959 469298282 524075948 629994968 866243081 897589918 938596564 1048151896 1259989936 1732486162 1795179836 1877193128 2096303792 2581140551 3464972324 3590359672 3754386256 4936744549 5162281102 6929944648 7180719344 9873489098 10324562204 13859889296 19746978196 20649124408 39493956392 41298248816 46225880777 78987912784 92451761554 184903523108 369807046216 508484688547 739614092432 1016969377094 2033938754188 4067877508376 8135755016752