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14828595300 = 22325219385369
BaseRepresentation
bin11011100111101101…
…00110100001100100
31102021102121200122100
431303312212201210
5220332110022200
610451232132100
71033315660161
oct156366464144
942242550570
1014828595300
11631a3a0142
122a5a097030
13152419455c
14a09567068
155bbc57d00
hex373da6864

14828595300 has 108 divisors (see below), whose sum is σ = 46720781380. Its totient is φ = 3933757440.

The previous prime is 14828595293. The next prime is 14828595323. The reversal of 14828595300 is 359582841.

14828595300 is a `hidden beast` number, since 1 + 4 + 8 + 28 + 595 + 30 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 5267275776 + 9561319524 = 72576^2 + 97782^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 131016 + ... + 216384.

Almost surely, 214828595300 is an apocalyptic number.

14828595300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14828595300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23360390690).

14828595300 is an abundant number, since it is smaller than the sum of its proper divisors (31892186080).

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

14828595300 is a wasteful number, since it uses less digits than its factorization.

14828595300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85582 (or 85572 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 14828595300 in words is "fourteen billion, eight hundred twenty-eight million, five hundred ninety-five thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 193 225 300 386 450 579 772 900 965 1158 1737 1930 2316 2895 3474 3860 4825 5790 6948 8685 9650 11580 14475 17370 19300 28950 34740 43425 57900 85369 86850 170738 173700 256107 341476 426845 512214 768321 853690 1024428 1280535 1536642 1707380 2134225 2561070 3073284 3841605 4268450 5122140 6402675 7683210 8536900 12805350 15366420 16476217 19208025 25610700 32952434 38416050 49428651 65904868 76832100 82381085 98857302 148285953 164762170 197714604 247143255 296571906 329524340 411905425 494286510 593143812 741429765 823810850 988573020 1235716275 1482859530 1647621700 2471432550 2965719060 3707148825 4942865100 7414297650 14828595300