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5212732896 = 25327352769
BaseRepresentation
bin1001101101011001…
…11111110111100000
3111110021200021020100
410312230333313200
541133424423041
62221130542400
7243114333000
oct46654776740
914407607210
105212732896
1122354a7418
121015897a00
13650c53647
1437643a000
152079786b6
hex136b3fde0

5212732896 has 144 divisors (see below), whose sum is σ = 17287452000. Its totient is φ = 1489324032.

The previous prime is 5212732853. The next prime is 5212732909. The reversal of 5212732896 is 6982372125.

5212732896 is a `hidden beast` number, since 521 + 2 + 7 + 32 + 8 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72400 + ... + 125168.

It is an arithmetic number, because the mean of its divisors is an integer number (120051750).

Almost surely, 25212732896 is an apocalyptic number.

5212732896 is a gapful number since it is divisible by the number (56) 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 5212732896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643726000).

5212732896 is an abundant number, since it is smaller than the sum of its proper divisors (12074719104).

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

5212732896 is a wasteful number, since it uses less digits than its factorization.

5212732896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52806 (or 52781 counting only the distinct ones).

The product of its digits is 362880, while the sum is 45.

The square root of 5212732896 is about 72199.2582787386. The cubic root of 5212732896 is about 1733.8911263323.

The spelling of 5212732896 in words is "five billion, two hundred twelve million, seven hundred thirty-two thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 49 56 63 72 84 96 98 112 126 144 147 168 196 224 252 288 294 336 343 392 441 504 588 672 686 784 882 1008 1029 1176 1372 1568 1764 2016 2058 2352 2744 3087 3528 4116 4704 5488 6174 7056 8232 10976 12348 14112 16464 24696 32928 49392 52769 98784 105538 158307 211076 316614 369383 422152 474921 633228 738766 844304 949842 1108149 1266456 1477532 1688608 1899684 2216298 2532912 2585681 2955064 3324447 3799368 4432596 5065824 5171362 5910128 6648894 7598736 7757043 8865192 10342724 11820256 13297788 15197472 15514086 17730384 18099767 20685448 23271129 26595576 31028172 35460768 36199534 41370896 46542258 53191152 54299301 62056344 72399068 82741792 93084516 106382304 108598602 124112688 144798136 162897903 186169032 217197204 248225376 289596272 325795806 372338064 434394408 579192544 651591612 744676128 868788816 1303183224 1737577632 2606366448 5212732896