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328015828080 = 243253331136769
BaseRepresentation
bin1001100010111110100…
…01000101010001110000
31011100122222122112221100
410301133101011101300
520333234022444310
6410404405324400
732461352351403
oct4613721052160
91140588575840
10328015828080
11117124424626
12536a3a06700
1324c160cbb85
1411c39c51d3a
1587ebeeeec0
hex4c5f445470

328015828080 has 120 divisors (see below), whose sum is σ = 1101925253520. Its totient is φ = 87443988480.

The previous prime is 328015828079. The next prime is 328015828103. The reversal of 328015828080 is 80828510823.

328015828080 is a `hidden beast` number, since 3 + 280 + 15 + 8 + 280 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2329936 + ... + 2466704.

It is an arithmetic number, because the mean of its divisors is an integer number (9182710446).

Almost surely, 2328015828080 is an apocalyptic number.

328015828080 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

328015828080 is an abundant number, since it is smaller than the sum of its proper divisors (773909425440).

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

328015828080 is a wasteful number, since it uses less digits than its factorization.

328015828080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140119 (or 140110 counting only the distinct ones).

The product of its (nonzero) digits is 245760, while the sum is 45.

The spelling of 328015828080 in words is "three hundred twenty-eight billion, fifteen million, eight hundred twenty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 3331 6662 9993 13324 16655 19986 26648 29979 33310 39972 49965 53296 59958 66620 79944 99930 119916 133240 136769 149895 159888 199860 239832 266480 273538 299790 399720 410307 479664 547076 599580 683845 799440 820614 1094152 1199160 1230921 1367690 1641228 2051535 2188304 2398320 2461842 2735380 3282456 4103070 4923684 5470760 6154605 6564912 8206140 9847368 10941520 12309210 16412280 19694736 24618420 32824560 49236840 98473680 455577539 911155078 1366732617 1822310156 2277887695 2733465234 3644620312 4100197851 4555775390 5466930468 6833663085 7289240624 8200395702 9111550780 10933860936 13667326170 16400791404 18223101560 20500989255 21867721872 27334652340 32801582808 36446203120 41001978510 54669304680 65603165616 82003957020 109338609360 164007914040 328015828080