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86541637482104 = 23737532233533903
BaseRepresentation
bin10011101011010110001011…
…100011110111011001111000
3102100102022002111212112102112
4103223112023203313121320
542320344233143411404
6504020402430351452
724141266311222250
oct2353261343673170
9370368074775375
1086541637482104
112563611424a622
12985842335b588
133939ac271c84c
1417528cd824960
15a0122eb4156e
hex4eb58b8f7678

86541637482104 has 128 divisors (see below), whose sum is σ = 194922228695040. Its totient is φ = 35247195090432.

The previous prime is 86541637482031. The next prime is 86541637482133. The reversal of 86541637482104 is 40128473614568.

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, 22722017 + ... + 26255919.

It is an arithmetic number, because the mean of its divisors is an integer number (1522829911680).

Almost surely, 286541637482104 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 86541637482104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (97461114347520).

86541637482104 is an abundant number, since it is smaller than the sum of its proper divisors (108380591212936).

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

86541637482104 is a wasteful number, since it uses less digits than its factorization.

86541637482104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3534229 (or 3534225 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 59.

The spelling of 86541637482104 in words is "eighty-six trillion, five hundred forty-one billion, six hundred thirty-seven million, four hundred eighty-two thousand, one hundred four".

Divisors: 1 2 4 7 8 14 28 37 53 56 74 106 148 212 223 259 296 371 424 446 518 742 892 1036 1484 1561 1784 1961 2072 2968 3122 3922 6244 7844 8251 11819 12488 13727 15688 16502 23638 27454 33004 47276 54908 57757 66008 82733 94552 109816 115514 165466 231028 330932 437303 462056 661864 874606 1749212 3061121 3498424 3533903 6122242 7067806 12244484 14135612 24488968 24737321 28271224 49474642 98949284 130754411 187296859 197898568 261508822 374593718 523017644 749187436 788060369 915280877 1046035288 1311078013 1498374872 1576120738 1830561754 2622156026 3152241476 3661123508 5244312052 5516422583 6304482952 6929983783 7322247016 10488624104 11032845166 13859967566 22065690332 27719935132 29158233653 41767199557 44131380664 48509886481 55439870264 58316467306 83534399114 97019772962 116632934612 167068798228 194039545924 204107635571 233265869224 292370396899 334137596456 388079091848 408215271142 584740793798 816430542284 1169481587596 1545386383609 1632861084568 2338963175192 3090772767218 6181545534436 10817704685263 12363091068872 21635409370526 43270818741052 86541637482104