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86788859000 = 23531711345179
BaseRepresentation
bin101000011010100000…
…1001110010001111000
322022000110112211210012
41100311001032101320
52410220421442000
6103511550241052
76161465062304
oct1206501162170
9268013484705
1086788859000
1133897059358
12149a14b6188
13825178274c
1442b4652d04
1523ce4cc735
hex143504e478

86788859000 has 128 divisors (see below), whose sum is σ = 216939902400. Its totient is φ = 32383590400.

The previous prime is 86788858997. The next prime is 86788859071. The reversal of 86788859000 is 95888768.

It is a congruent number.

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, 1898411 + ... + 1943589.

Almost surely, 286788859000 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 86788859000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108469951200).

86788859000 is an abundant number, since it is smaller than the sum of its proper divisors (130151043400).

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

86788859000 is a wasteful number, since it uses less digits than its factorization.

86788859000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45330 (or 45316 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 59.

The spelling of 86788859000 in words is "eighty-six billion, seven hundred eighty-eight million, eight hundred fifty-nine thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 113 125 136 170 200 226 250 340 425 452 500 565 680 850 904 1000 1130 1700 1921 2125 2260 2825 3400 3842 4250 4520 5650 7684 8500 9605 11300 14125 15368 17000 19210 22600 28250 38420 45179 48025 56500 76840 90358 96050 113000 180716 192100 225895 240125 361432 384200 451790 480250 768043 903580 960500 1129475 1536086 1807160 1921000 2258950 3072172 3840215 4517900 5105227 5647375 6144344 7680430 9035800 10210454 11294750 15360860 19201075 20420908 22589500 25526135 30721720 38402150 40841816 45179000 51052270 76804300 86788859 96005375 102104540 127630675 153608600 173577718 192010750 204209080 255261350 347155436 384021500 433944295 510522700 638153375 694310872 768043000 867888590 1021045400 1276306750 1735777180 2169721475 2552613500 3471554360 4339442950 5105227000 8678885900 10848607375 17357771800 21697214750 43394429500 86788859000