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88505486064 = 243219311172851
BaseRepresentation
bin101001001101101010…
…1101000101011110000
322110110002200112102100
41102123111220223300
52422224401023224
6104354151420400
76252151135032
oct1223325505360
9273402615370
1088505486064
1134598048706
12151a0384700
1384663010c8
1443d8625c52
152480067ac9
hex149b568af0

88505486064 has 120 divisors (see below), whose sum is σ = 249286121552. Its totient is φ = 29312409600.

The previous prime is 88505486039. The next prime is 88505486107. The reversal of 88505486064 is 46068450588.

It is a self number, because there is not a number n which added to its sum of digits gives 88505486064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31042239 + ... + 31045089.

Almost surely, 288505486064 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 88505486064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124643060776).

88505486064 is an abundant number, since it is smaller than the sum of its proper divisors (160780635488).

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

88505486064 is a wasteful number, since it uses less digits than its factorization.

88505486064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4175 (or 4166 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 88505486064 in words is "eighty-eight billion, five hundred five million, four hundred eighty-six thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1117 1158 1544 1737 2234 2316 2851 3088 3351 3474 4468 4632 5702 6702 6948 8553 8936 9264 10053 11404 13404 13896 17106 17872 20106 22808 25659 26808 27792 34212 40212 45616 51318 53616 68424 80424 102636 136848 160848 205272 215581 410544 431162 550243 646743 862324 1100486 1293486 1650729 1724648 1940229 2200972 2586972 3184567 3301458 3449296 3880458 4401944 4952187 5173944 6369134 6602916 7760916 8803888 9553701 9904374 10347888 12738268 13205832 15521832 19107402 19808748 25476536 26411664 28661103 31043664 38214804 39617496 50953072 57322206 76429608 79234992 114644412 152859216 229288824 458577648 614621431 1229242862 1843864293 2458485724 3687728586 4916971448 5531592879 7375457172 9833942896 11063185758 14750914344 22126371516 29501828688 44252743032 88505486064