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88364060480514 = 23713773487742929
BaseRepresentation
bin10100000101110111011100…
…011011111001010000000010
3102120212112002022021001002210
4110011313130123321100002
543040224043440334024
6511533520004122550
724420043536141450
oct2405673433712002
9376775068231083
1088364060480514
1126178a95549855
129ab1669096456
133a3c90631b440
1417b6bb42039d0
15a33842ed1129
hex505ddc6f9402

88364060480514 has 128 divisors (see below), whose sum is σ = 217842651210240. Its totient is φ = 23269344251904.

The previous prime is 88364060480513. The next prime is 88364060480539. The reversal of 88364060480514 is 41508406046388.

It is a super-3 number, since 3×883640604805143 (a number of 43 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (88364060480513) 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, 2058355402 + ... + 2058398330.

It is an arithmetic number, because the mean of its divisors is an integer number (1701895712580).

Almost surely, 288364060480514 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88364060480514, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108921325605120).

88364060480514 is an abundant number, since it is smaller than the sum of its proper divisors (129478590729726).

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

88364060480514 is a wasteful number, since it uses less digits than its factorization.

88364060480514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48604.

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 88364060480514 in words is "eighty-eight trillion, three hundred sixty-four billion, sixty million, four hundred eighty thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 182 273 546 773 1546 2319 4638 4877 5411 9754 10049 10822 14631 16233 20098 29262 30147 32466 34139 42929 60294 63401 68278 70343 85858 102417 126802 128787 140686 190203 204834 211029 257574 300503 380406 422058 443807 558077 601006 887614 901509 1116154 1331421 1674231 1803018 2662842 3348462 3769921 3906539 7539842 7813078 11309763 11719617 22619526 23439234 26389447 33184117 49008973 52778894 66368234 79168341 98017946 99552351 147026919 158336682 199104702 209364733 232288819 294053838 343062811 418729466 431393521 464577638 628094199 686125622 696866457 862787042 1029188433 1256188398 1294180563 1393732914 1465553131 2058376866 2588361126 2721741529 2931106262 3019754647 4396659393 5443483058 6039509294 8165224587 8793318786 9059263941 16330449174 18118527882 19052190703 38104381406 57156572109 114313144218 161838938609 323677877218 485516815827 971033631654 1132872570263 2103906201917 2265745140526 3398617710789 4207812403834 6311718605751 6797235421578 12623437211502 14727343413419 29454686826838 44182030240257 88364060480514