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86426688360 = 23351674579437
BaseRepresentation
bin101000001111101101…
…1101001101101101000
322021002020001200001210
41100133123221231220
52404000213011420
6103412011513120
76146506505235
oct1203733515550
9267066050053
1086426688360
1133720681181
12149001587a0
1381c47279ac
14427c4d878c
1523ac7dc9e0
hex141f6e9b68

86426688360 has 128 divisors (see below), whose sum is σ = 261431089920. Its totient is φ = 22856558592.

The previous prime is 86426688347. The next prime is 86426688367. The reversal of 86426688360 is 6388662468.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 86426688360.

It is not an unprimeable number, because it can be changed into a prime (86426688367) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9153562 + ... + 9162998.

It is an arithmetic number, because the mean of its divisors is an integer number (2042430390).

Almost surely, 286426688360 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 86426688360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130715544960).

86426688360 is an abundant number, since it is smaller than the sum of its proper divisors (175004401560).

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

86426688360 is a wasteful number, since it uses less digits than its factorization.

86426688360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10075 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 15925248, while the sum is 57.

The spelling of 86426688360 in words is "eighty-six billion, four hundred twenty-six million, six hundred eighty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 167 334 457 501 668 835 914 1002 1336 1371 1670 1828 2004 2285 2505 2742 3340 3656 4008 4570 5010 5484 6680 6855 9140 9437 10020 10968 13710 18280 18874 20040 27420 28311 37748 47185 54840 56622 75496 76319 94370 113244 141555 152638 188740 226488 228957 283110 305276 377480 381595 457914 566220 610552 763190 915828 1132440 1144785 1526380 1575979 1831656 2289570 3052760 3151958 4312709 4579140 4727937 6303916 7879895 8625418 9158280 9455874 12607832 12938127 15759790 17250836 18911748 21563545 23639685 25876254 31519580 34501672 37823496 43127090 47279370 51752508 63039160 64690635 86254180 94558740 103505016 129381270 172508360 189117480 258762540 517525080 720222403 1440444806 2160667209 2880889612 3601112015 4321334418 5761779224 7202224030 8642668836 10803336045 14404448060 17285337672 21606672090 28808896120 43213344180 86426688360