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86430447840 = 25351116369403
BaseRepresentation
bin101000001111110100…
…1111111100011100000
322021002111010200002210
41100133221333203200
52404002143312330
6103412224242120
76146553453642
oct1203751774340
9267074120083
1086430447840
1133722809790
1214901470340
1381c5442c39
14427cbd6892
1523accd18b0
hex141fa7f8e0

86430447840 has 96 divisors (see below), whose sum is σ = 297006466176. Its totient is φ = 20952834560.

The previous prime is 86430447839. The next prime is 86430447871. The reversal of 86430447840 is 4874403468.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 86430447840.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8179422 + ... + 8189981.

It is an arithmetic number, because the mean of its divisors is an integer number (3093817356).

Almost surely, 286430447840 is an apocalyptic number.

86430447840 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86430447840 is an abundant number, since it is smaller than the sum of its proper divisors (210576018336).

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

86430447840 is a wasteful number, since it uses less digits than its factorization.

86430447840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16369432 (or 16369424 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 48.

The spelling of 86430447840 in words is "eighty-six billion, four hundred thirty million, four hundred forty-seven thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 16369403 32738806 49108209 65477612 81847015 98216418 130955224 163694030 180063433 196432836 245541045 261910448 327388060 360126866 392865672 491082090 523820896 540190299 654776120 720253732 785731344 900317165 982164180 1080380598 1309552240 1440507464 1571462688 1800634330 1964328360 2160761196 2619104480 2700951495 2881014928 3601268660 3928656720 4321522392 5401902990 5762029856 7202537320 7857313440 8643044784 10803805980 14405074640 17286089568 21607611960 28810149280 43215223920 86430447840