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86238278440 = 23519717321893
BaseRepresentation
bin101000001010000110…
…0111011001100101000
322020121002112110020121
41100110030323030220
52403103444402230
6103341201333024
76142031162206
oct1202414731450
9266532473217
1086238278440
1133634294aa6
1214869037174
13819469ac32
144261492076
15239aec277a
hex141433b328

86238278440 has 128 divisors (see below), whose sum is σ = 209972217600. Its totient is φ = 31776675840.

The previous prime is 86238278429. The next prime is 86238278479. The reversal of 86238278440 is 4487283268.

It is a happy 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, 3928134 + ... + 3950026.

It is an arithmetic number, because the mean of its divisors is an integer number (1640407950).

Almost surely, 286238278440 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 86238278440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (104986108800).

86238278440 is an abundant number, since it is smaller than the sum of its proper divisors (123733939160).

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

86238278440 is a wasteful number, since it uses less digits than its factorization.

86238278440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22067 (or 22063 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 52.

The spelling of 86238278440 in words is "eighty-six billion, two hundred thirty-eight million, two hundred seventy-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 71 73 76 95 142 146 152 190 284 292 355 365 380 568 584 710 730 760 1349 1387 1420 1460 2698 2774 2840 2920 5183 5396 5548 6745 6935 10366 10792 11096 13490 13870 20732 21893 25915 26980 27740 41464 43786 51830 53960 55480 87572 98477 103660 109465 175144 196954 207320 218930 393908 415967 437860 492385 787816 831934 875720 984770 1554403 1598189 1663868 1969540 2079835 3108806 3196378 3327736 3939080 4159670 6217612 6392756 7772015 7990945 8319340 12435224 12785512 15544030 15981890 16638680 29533657 30365591 31088060 31963780 59067314 60731182 62176120 63927560 113471419 118134628 121462364 147668285 151827955 226942838 236269256 242924728 295336570 303655910 453885676 567357095 590673140 607311820 907771352 1134714190 1181346280 1214623640 2155956961 2269428380 4311913922 4538856760 8623827844 10779784805 17247655688 21559569610 43119139220 86238278440