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84402746752 = 2717239162293
BaseRepresentation
bin100111010011011001…
…0111011010110000000
322001212011122210010111
41032212302323112000
52340324100344002
6102435111441104
76045402336652
oct1164662732600
9261764583114
1084402746752
1132882171965
1214436386194
137c6131a0cc
1441297aa6d2
1522dec9b3d7
hex13a6cbb580

84402746752 has 64 divisors (see below), whose sum is σ = 178783070400. Its totient is φ = 39552507904.

The previous prime is 84402746731. The next prime is 84402746759. The reversal of 84402746752 is 25764720448.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 84402746696 and 84402746705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84402746759) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 438918 + ... + 601210.

It is an arithmetic number, because the mean of its divisors is an integer number (2793485475).

Almost surely, 284402746752 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 84402746752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (89391535200).

84402746752 is an abundant number, since it is smaller than the sum of its proper divisors (94380323648).

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

84402746752 is a wasteful number, since it uses less digits than its factorization.

84402746752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 162563 (or 162551 counting only the distinct ones).

The product of its (nonzero) digits is 3010560, while the sum is 49.

The spelling of 84402746752 in words is "eighty-four billion, four hundred two million, seven hundred forty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 239 272 478 544 956 1088 1912 2176 3824 4063 7648 8126 15296 16252 30592 32504 65008 130016 162293 260032 324586 520064 649172 1298344 2596688 2758981 5193376 5517962 10386752 11035924 20773504 22071848 38788027 44143696 77576054 88287392 155152108 176574784 310304216 353149568 620608432 659396459 1241216864 1318792918 2482433728 2637585836 4964867456 5275171672 10550343344 21100686688 42201373376 84402746752