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81583997214384 = 24327449180259477
BaseRepresentation
bin10010100011001101000001…
…001011000101111010110000
3101200212100120001001202122200
4102203031001023011322300
541143133011241330014
6445303100530103200
723120151335232630
oct2243150113057260
9350770501052580
1081583997214384
1123aa464059a975
12919763771ab00
13366a451568132
141620987bc66c0
159672c1176a09
hex4a33412c5eb0

81583997214384 has 120 divisors (see below), whose sum is σ = 261520450682400. Its totient is φ = 23257798631424.

The previous prime is 81583997214311. The next prime is 81583997214403. The reversal of 81583997214384 is 48341279938518.

81583997214384 is a `hidden beast` number, since 8 + 1 + 5 + 83 + 9 + 97 + 21 + 438 + 4 = 666.

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 89677147 + ... + 90582330.

It is an arithmetic number, because the mean of its divisors is an integer number (2179337089020).

Almost surely, 281583997214384 is an apocalyptic number.

81583997214384 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

It is an amenable number.

81583997214384 is an abundant number, since it is smaller than the sum of its proper divisors (179936453468016).

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

81583997214384 is a wasteful number, since it uses less digits than its factorization.

81583997214384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180259947 (or 180259938 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 72.

The spelling of 81583997214384 in words is "eighty-one trillion, five hundred eighty-three billion, nine hundred ninety-seven million, two hundred fourteen thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 449 504 898 1008 1347 1796 2694 3143 3592 4041 5388 6286 7184 8082 9429 10776 12572 16164 18858 21552 25144 28287 32328 37716 50288 56574 64656 75432 113148 150864 226296 452592 180259477 360518954 540778431 721037908 1081556862 1261816339 1442075816 1622335293 2163113724 2523632678 2884151632 3244670586 3785449017 4326227448 5047265356 6489341172 7570898034 8652454896 10094530712 11356347051 12978682344 15141796068 20189061424 22712694102 25957364688 30283592136 45425388204 60567184272 80936505173 90850776408 161873010346 181701552816 242809515519 323746020692 485619031038 566555536211 647492041384 728428546557 971238062076 1133111072422 1294984082768 1456857093114 1699666608633 1942476124152 2266222144844 2913714186228 3399333217266 3884952248304 4532444289688 5098999825899 5827428372456 6798666434532 9064888579376 10197999651798 11654856744912 13597332869064 20395999303596 27194665738128 40791998607192 81583997214384