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5127432192 = 2113510303
BaseRepresentation
bin1001100011001111…
…00110100000000000
3111020100011112200000
410301213212200000
541000110312232
62204442400000
7241030311621
oct46147464000
914210145600
105127432192
1121a1335773
12bb1200000
1363938865c
14368d93a48
1520022927c
hex1319e6800

5127432192 has 144 divisors (see below), whose sum is σ = 15358936320. Its totient is φ = 1708978176.

The previous prime is 5127432179. The next prime is 5127432221. The reversal of 5127432192 is 2912347215.

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

It is a super-3 number, since 3×51274321923 (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 492513 + ... + 502815.

It is an arithmetic number, because the mean of its divisors is an integer number (106659280).

Almost surely, 25127432192 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 5127432192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7679468160).

5127432192 is an abundant number, since it is smaller than the sum of its proper divisors (10231504128).

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

5127432192 is an equidigital number, since it uses as much as digits as its factorization.

5127432192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10340 (or 10308 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 5127432192 is about 71606.0904672221. The cubic root of 5127432192 is about 1724.3813161272.

The spelling of 5127432192 in words is "five billion, one hundred twenty-seven million, four hundred thirty-two thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4608 5184 6144 6912 7776 9216 10303 10368 13824 15552 18432 20606 20736 27648 30909 31104 41212 41472 55296 61818 62208 82424 82944 92727 123636 124416 164848 165888 185454 247272 248832 278181 329696 370908 494544 497664 556362 659392 741816 834543 989088 1112724 1318784 1483632 1669086 1978176 2225448 2503629 2637568 2967264 3338172 3956352 4450896 5007258 5275136 5934528 6676344 7912704 8901792 10014516 10550272 11869056 13352688 15825408 17803584 20029032 21100544 23738112 26705376 31650816 35607168 40058064 47476224 53410752 63301632 71214336 80116128 94952448 106821504 142428672 160232256 189904896 213643008 284857344 320464512 427286016 569714688 640929024 854572032 1281858048 1709144064 2563716096 5127432192