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82154248872 = 23323892776037
BaseRepresentation
bin100110010000011000…
…1100101101010101000
321212001110201020220020
41030200301211222220
52321222441430442
6101424030400440
75635600410363
oct1144061455250
9255043636806
1082154248872
1131928a28153
1213b09360120
137993537ca7
143d94d070da
15220c69e9ec
hex1320c65aa8

82154248872 has 128 divisors (see below), whose sum is σ = 217541894400. Its totient is φ = 25802016768.

The previous prime is 82154248871. The next prime is 82154248877. The reversal of 82154248872 is 27884245128.

It is not an unprimeable number, because it can be changed into a prime (82154248871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13605438 + ... + 13611474.

It is an arithmetic number, because the mean of its divisors is an integer number (1699546050).

Almost surely, 282154248872 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 82154248872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108770947200).

82154248872 is an abundant number, since it is smaller than the sum of its proper divisors (135387645528).

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

82154248872 is a wasteful number, since it uses less digits than its factorization.

82154248872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6435 (or 6431 counting only the distinct ones).

The product of its digits is 2293760, while the sum is 51.

The spelling of 82154248872 in words is "eighty-two billion, one hundred fifty-four million, two hundred forty-eight thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 89 92 138 178 184 267 276 277 356 534 552 554 712 831 1068 1108 1662 2047 2136 2216 3324 4094 6037 6141 6371 6648 8188 12074 12282 12742 16376 18111 19113 24148 24564 24653 25484 36222 38226 48296 49128 49306 50968 72444 73959 76452 98612 138851 144888 147918 152904 197224 277702 295836 416553 537293 555404 567019 591672 833106 1074586 1110808 1134038 1611879 1666212 1672249 1701057 2149172 2268076 3223758 3332424 3344498 3402114 4298344 4536152 5016747 6447516 6688996 6804228 10033494 12357739 12895032 13377992 13608456 20066988 24715478 37073217 38461727 40133976 49430956 74146434 76923454 98861912 115385181 148292868 148830161 153846908 230770362 296585736 297660322 307693816 446490483 461540724 595320644 892980966 923081448 1190641288 1785961932 3423093703 3571923864 6846187406 10269281109 13692374812 20538562218 27384749624 41077124436 82154248872