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84013431048 = 233223914333407
BaseRepresentation
bin100111000111110010…
…1110011100100001000
322000212001002111101100
41032033211303210020
52334024414243143
6102332323221400
76032634244521
oct1161745634410
9260761074340
1084013431048
11326a2434248
1214347b17860
137bcb7799a1
1440cdbc7848
1522ba9e86d3
hex138f973908

84013431048 has 96 divisors (see below), whose sum is σ = 228714969600. Its totient is φ = 27859663104.

The previous prime is 84013431043. The next prime is 84013431091.

84013431048 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (84013431043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 24657361 + ... + 24660767.

It is an arithmetic number, because the mean of its divisors is an integer number (2382447600).

Almost surely, 284013431048 is an apocalyptic number.

It is an amenable number.

84013431048 is an abundant number, since it is smaller than the sum of its proper divisors (144701538552).

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

84013431048 is a wasteful number, since it uses less digits than its factorization.

84013431048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5091 (or 5084 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 84013431048 in words is "eighty-four billion, thirteen million, four hundred thirty-one thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 239 478 717 956 1433 1434 1912 2151 2866 2868 3407 4299 4302 5732 5736 6814 8598 8604 10221 11464 12897 13628 17196 17208 20442 25794 27256 30663 34392 40884 51588 61326 81768 103176 122652 245304 342487 684974 814273 1027461 1369948 1628546 2054922 2442819 2739896 3082383 3257092 4109844 4882231 4885638 6164766 6514184 7328457 8219688 9764462 9771276 12329532 14646693 14656914 19528924 19542552 24659064 29293386 29313828 39057848 43940079 58586772 58627656 87880158 117173544 175760316 351520632 1166853209 2333706418 3500559627 4667412836 7001119254 9334825672 10501678881 14002238508 21003357762 28004477016 42006715524 84013431048