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86270703024 = 243113123322621
BaseRepresentation
bin101000001011000100…
…0100111010110110000
322020200100112210102010
41100112020213112300
52403140244444044
6103344320322520
76142603606422
oct1202610472660
9266610483363
1086270703024
1133650621080
1214877a73440
13819b31168c
1442658d2812
15239dc79bb9
hex14162275b0

86270703024 has 160 divisors (see below), whose sum is σ = 252057581568. Its totient is φ = 25189632000.

The previous prime is 86270703007. The next prime is 86270703073. The reversal of 86270703024 is 42030707268.

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, 3802434 + ... + 3825054.

Almost surely, 286270703024 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 86270703024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126028790784).

86270703024 is an abundant number, since it is smaller than the sum of its proper divisors (165786878544).

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

86270703024 is a wasteful number, since it uses less digits than its factorization.

86270703024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22907 (or 22901 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

It can be divided in two parts, 862 and 70703024, that added together give a triangular number (70703886 = T11891).

The spelling of 86270703024 in words is "eighty-six billion, two hundred seventy million, seven hundred three thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 233 248 264 341 372 466 496 528 682 699 744 932 1023 1364 1398 1488 1864 2046 2563 2728 2796 3728 4092 5126 5456 5592 7223 7689 8184 10252 11184 14446 15378 16368 20504 21669 22621 28892 30756 41008 43338 45242 57784 61512 67863 79453 86676 90484 115568 123024 135726 158906 173352 180968 238359 248831 271452 317812 346704 361936 476718 497662 542904 635624 701251 746493 953436 995324 1085808 1271248 1402502 1492986 1906872 1990648 2103753 2805004 2985972 3813744 3981296 4207506 5270693 5610008 5971944 7713761 8415012 10541386 11220016 11943888 15427522 15812079 16830024 21082772 23141283 30855044 31624158 33660048 42165544 46282566 57977623 61710088 63248316 84331088 92565132 115955246 123420176 126496632 163391483 173932869 185130264 231910492 252993264 326782966 347865738 370260528 463820984 490174449 653565932 695731476 927641968 980348898 1307131864 1391462952 1797306313 1960697796 2614263728 2782925904 3594612626 3921395592 5391918939 7189225252 7842791184 10783837878 14378450504 21567675756 28756901008 43135351512 86270703024