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84346105480 = 235713151153457
BaseRepresentation
bin100111010001101101…
…0110110111010001000
322001201020002002220121
41032203122312322020
52340220100333410
6102425325433024
76044114032030
oct1164332667210
9261636062817
1084346105480
11328531a549a
121441b40b774
137c52677b70
1441220648c0
1522d9d0d9da
hex13a36b6e88

84346105480 has 128 divisors (see below), whose sum is σ = 235122209280. Its totient is φ = 26517196800.

The previous prime is 84346105477. The next prime is 84346105541. The reversal of 84346105480 is 8450164348.

It is a super-2 number, since 2×843461054802 (a number of 23 digits) contains 22 as substring.

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, 472912 + ... + 626368.

It is an arithmetic number, because the mean of its divisors is an integer number (1836892260).

Almost surely, 284346105480 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 84346105480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117561104640).

84346105480 is an abundant number, since it is smaller than the sum of its proper divisors (150776103800).

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

84346105480 is a wasteful number, since it uses less digits than its factorization.

84346105480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153639 (or 153635 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 43.

The spelling of 84346105480 in words is "eighty-four billion, three hundred forty-six million, one hundred five thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 151 182 260 280 302 364 455 520 604 728 755 910 1057 1208 1510 1820 1963 2114 3020 3640 3926 4228 5285 6040 7852 8456 9815 10570 13741 15704 19630 21140 27482 39260 42280 54964 68705 78520 109928 137410 153457 274820 306914 549640 613828 767285 1074199 1227656 1534570 1994941 2148398 3069140 3989882 4296796 5370995 6138280 7979764 8593592 9974705 10741990 13964587 15959528 19949410 21483980 23172007 27929174 39898820 42967960 46344014 55858348 69822935 79797640 92688028 111716696 115860035 139645870 162204049 185376056 231720070 279291740 301236091 324408098 463440140 558583480 602472182 648816196 811020245 926880280 1204944364 1297632392 1506180455 1622040490 2108652637 2409888728 3012360910 3244080980 4217305274 6024721820 6488161960 8434610548 10543263185 12049443640 16869221096 21086526370 42173052740 84346105480