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84054834840 = 23355319496781
BaseRepresentation
bin100111001001000001…
…1101111111010011000
322000221221000000201010
41032102003233322120
52334121014203330
6102340402453520
76033646210344
oct1162203577230
9260857000633
1084054834840
1132713843559
12143599642a0
137c07215482
1440d54c4624
1522be4763b0
hex13920efe98

84054834840 has 128 divisors (see below), whose sum is σ = 257092056000. Its totient is φ = 21977180160.

The previous prime is 84054834821. The next prime is 84054834859. The reversal of 84054834840 is 4843845048.

It is an interprime number because it is at equal distance from previous prime (84054834821) and next prime (84054834859).

It is a self number, because there is not a number n which added to its sum of digits gives 84054834840.

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 31 ways as a sum of consecutive naturals, for example, 12392250 + ... + 12399030.

Almost surely, 284054834840 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 84054834840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128546028000).

84054834840 is an abundant number, since it is smaller than the sum of its proper divisors (173037221160).

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

84054834840 is a wasteful number, since it uses less digits than its factorization.

84054834840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8797 (or 8793 counting only the distinct ones).

The product of its (nonzero) digits is 1966080, while the sum is 48.

The spelling of 84054834840 in words is "eighty-four billion, fifty-four million, eight hundred thirty-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 53 60 106 120 159 212 265 318 424 530 636 795 1060 1272 1590 1949 2120 3180 3898 5847 6360 6781 7796 9745 11694 13562 15592 19490 20343 23388 27124 29235 33905 38980 40686 46776 54248 58470 67810 77960 81372 101715 103297 116940 135620 162744 203430 206594 233880 271240 309891 359393 406860 413188 516485 619782 718786 813720 826376 1032970 1078179 1239564 1437572 1549455 1796965 2065940 2156358 2479128 2875144 3098910 3593930 4131880 4312716 5390895 6197820 7187860 8625432 10781790 12395640 13216169 14375720 21563580 26432338 39648507 43127160 52864676 66080845 79297014 105729352 132161690 158594028 198242535 264323380 317188056 396485070 528646760 700456957 792970140 1400913914 1585940280 2101370871 2801827828 3502284785 4202741742 5603655656 7004569570 8405483484 10506854355 14009139140 16810966968 21013708710 28018278280 42027417420 84054834840