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81434284106845 = 51729383551915629
BaseRepresentation
bin10010100001000001100101…
…100100111010010001011101
3101200100001010021102220020211
4102201001211210322101131
541133204403212404340
6445110221010412421
723103301321636555
oct2241014544722135
9350301107386224
1081434284106845
1123a470a443332a
129172614b91111
1336592b2577637
141617624596165
1596345c8675ea
hex4a106593a45d

81434284106845 has 64 divisors (see below), whose sum is σ = 107343138816000. Its totient is φ = 59031859941376.

The previous prime is 81434284106843. The next prime is 81434284106869. The reversal of 81434284106845 is 54860148243418.

It is a cyclic number.

It is not a de Polignac number, because 81434284106845 - 21 = 81434284106843 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 81434284106845.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (81434284106843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5210452491 + ... + 5210468119.

It is an arithmetic number, because the mean of its divisors is an integer number (1677236544000).

Almost surely, 281434284106845 is an apocalyptic number.

81434284106845 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

81434284106845 is a deficient number, since it is larger than the sum of its proper divisors (25908854709155).

81434284106845 is a wasteful number, since it uses less digits than its factorization.

81434284106845 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21582.

The product of its (nonzero) digits is 23592960, while the sum is 58.

The spelling of 81434284106845 in words is "eighty-one trillion, four hundred thirty-four billion, two hundred eighty-four million, one hundred six thousand, eight hundred forty-five".

Divisors: 1 5 17 29 85 145 383 493 1915 2465 5519 6511 11107 15629 27595 32555 55535 78145 93823 160051 188819 265693 453241 469115 800255 944095 1328465 2113777 2266205 2720867 5985907 7705097 10568885 13604335 29929535 35934209 38525485 61299533 86256451 101760419 173591303 179671045 306497665 431282255 508802095 867956515 1042092061 1466359667 2501437079 2951052151 5210460305 7331798335 12507185395 14755260755 33036220733 42524430343 165181103665 212622151715 561615752461 958050401257 2808078762305 4790252006285 16286856821369 81434284106845