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86875241440 = 25513172456879
BaseRepresentation
bin101000011101000101…
…0101111101111100000
322022020111002112012211
41100322022233233200
52410410030211230
6103524313531504
76163564240201
oct1207212575740
9268214075184
1086875241440
11339308997a9
1214a06413b94
138266638c10
1442c1cdb5a8
1523d6d9242a
hex143a2afbe0

86875241440 has 96 divisors (see below), whose sum is σ = 234032561280. Its totient is φ = 30190116864.

The previous prime is 86875241437. The next prime is 86875241461. The reversal of 86875241440 is 4414257868.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1193080 + ... + 1263799.

It is an arithmetic number, because the mean of its divisors is an integer number (2437839180).

Almost surely, 286875241440 is an apocalyptic number.

86875241440 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

86875241440 is an abundant number, since it is smaller than the sum of its proper divisors (147157319840).

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

86875241440 is a wasteful number, since it uses less digits than its factorization.

86875241440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2456924 (or 2456916 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 49.

The spelling of 86875241440 in words is "eighty-six billion, eight hundred seventy-five million, two hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 32 34 40 52 65 68 80 85 104 130 136 160 170 208 221 260 272 340 416 442 520 544 680 884 1040 1105 1360 1768 2080 2210 2720 3536 4420 7072 8840 17680 35360 2456879 4913758 9827516 12284395 19655032 24568790 31939427 39310064 41766943 49137580 63878854 78620128 83533886 98275160 127757708 159697135 167067772 196550320 208834715 255515416 319394270 334135544 393100640 417669430 511030832 542970259 638788540 668271088 835338860 1022061664 1085940518 1277577080 1336542176 1670677720 2171881036 2555154160 2714851295 3341355440 4343762072 5110308320 5429702590 6682710880 8687524144 10859405180 17375048288 21718810360 43437620720 86875241440