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84401701048 = 237171923202877
BaseRepresentation
bin100111010011010111…
…0111100000010111000
322001212002200122200201
41032212232330002320
52340323313413143
6102435033211544
76045360423160
oct1164656740270
9261762618621
1084401701048
1132881618245
1214435b60bb4
137c61042152
1441295b75a0
1522deb4164d
hex13a6bbc0b8

84401701048 has 128 divisors (see below), whose sum is σ = 210343910400. Its totient is φ = 30850136064.

The previous prime is 84401701019. The next prime is 84401701081. The reversal of 84401701048 is 84010710448.

It is a junction number, because it is equal to n+sod(n) for n = 84401700998 and 84401701016.

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, 314586 + ... + 517462.

It is an arithmetic number, because the mean of its divisors is an integer number (1643311800).

Almost surely, 284401701048 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 84401701048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105171955200).

84401701048 is an abundant number, since it is smaller than the sum of its proper divisors (125942209352).

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

84401701048 is a wasteful number, since it uses less digits than its factorization.

84401701048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202949 (or 202945 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 37.

The spelling of 84401701048 in words is "eighty-four billion, four hundred one million, seven hundred one thousand, forty-eight".

Divisors: 1 2 4 7 8 14 17 19 23 28 34 38 46 56 68 76 92 119 133 136 152 161 184 238 266 322 323 391 437 476 532 644 646 782 874 952 1064 1288 1292 1564 1748 2261 2584 2737 3059 3128 3496 4522 5474 6118 7429 9044 10948 12236 14858 18088 21896 24472 29716 52003 59432 104006 202877 208012 405754 416024 811508 1420139 1623016 2840278 3448909 3854663 4666171 5680556 6897818 7709326 9332342 11361112 13795636 15418652 18664684 24142363 26982641 27591272 30837304 32663197 37329368 48284726 53965282 65326394 65529271 79324907 88657249 96569452 107930564 130652788 131058542 158649814 177314498 193138904 215861128 261305576 262117084 317299628 354628996 458704897 524234168 555274349 620600743 634599256 709257992 917409794 1110548698 1241201486 1507173233 1834819588 2221097396 2482402972 3014346466 3669639176 4442194792 4964805944 6028692932 10550212631 12057385864 21100425262 42200850524 84401701048