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315105505400 = 23527232153623
BaseRepresentation
bin1001001010111011100…
…00000111000001111000
31010010100020121012122002
410211131300013001320
520130314002133100
6400431340320132
731523415413600
oct4453560070170
91103306535562
10315105505400
111116a9930064
12510a0243048
132393949829a
141137338bc00
1582e38b42d5
hex495dc07078

315105505400 has 72 divisors (see below), whose sum is σ = 852231804120. Its totient is φ = 108036169920.

The previous prime is 315105505381. The next prime is 315105505411. The reversal of 315105505400 is 4505501513.

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 17 ways as a sum of consecutive naturals, for example, 16067012 + ... + 16086611.

It is an arithmetic number, because the mean of its divisors is an integer number (11836552835).

Almost surely, 2315105505400 is an apocalyptic number.

It is an amenable number.

315105505400 is an abundant number, since it is smaller than the sum of its proper divisors (537126298720).

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

315105505400 is a wasteful number, since it uses less digits than its factorization.

315105505400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32153653 (or 32153637 counting only the distinct ones).

The product of its (nonzero) digits is 7500, while the sum is 29.

The spelling of 315105505400 in words is "three hundred fifteen billion, one hundred five million, five hundred five thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 140 175 196 200 245 280 350 392 490 700 980 1225 1400 1960 2450 4900 9800 32153623 64307246 128614492 160768115 225075361 257228984 321536230 450150722 643072460 803840575 900301444 1125376805 1286144920 1575527527 1607681150 1800602888 2250753610 3151055054 3215362300 4501507220 5626884025 6302110108 6430724600 7877637635 9003014440 11253768050 12604220216 15755275270 22507536100 31510550540 39388188175 45015072200 63021101080 78776376350 157552752700 315105505400