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5127603480 = 2333518672543
BaseRepresentation
bin1001100011010000…
…10000010100011000
3111020100111020122000
410301220100110120
541000131302410
62204450201000
7241031624166
oct46150202430
914210436560
105127603480
1121a144242a
12bb1283160
136394185cc
14368dda236
1520025edc0
hex131a10518

5127603480 has 128 divisors (see below), whose sum is σ = 17107891200. Its totient is φ = 1366091136.

The previous prime is 5127603469. The next prime is 5127603539. The reversal of 5127603480 is 843067215.

5127603480 is a `hidden beast` number, since 5 + 1 + 2 + 7 + 603 + 48 + 0 = 666.

It is a super-2 number, since 2×51276034802 = 52584634896216220800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2015089 + ... + 2017631.

It is an arithmetic number, because the mean of its divisors is an integer number (133655400).

Almost surely, 25127603480 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 5127603480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8553945600).

5127603480 is an abundant number, since it is smaller than the sum of its proper divisors (11980287720).

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

5127603480 is a wasteful number, since it uses less digits than its factorization.

5127603480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4430 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 5127603480 is about 71607.2865007466. The cubic root of 5127603480 is about 1724.4005175863.

The spelling of 5127603480 in words is "five billion, one hundred twenty-seven million, six hundred three thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1867 2543 3734 5086 5601 7468 7629 9335 10172 11202 12715 14936 15258 16803 18670 20344 22404 22887 25430 28005 30516 33606 37340 38145 44808 45774 50409 50860 56010 61032 67212 68661 74680 76290 84015 91548 100818 101720 112020 114435 134424 137322 152580 168030 183096 201636 224040 228870 252045 274644 305160 336060 343305 403272 457740 504090 549288 672120 686610 915480 1008180 1373220 2016360 2746440 4747781 9495562 14243343 18991124 23738905 28486686 37982248 42730029 47477810 56973372 71216715 85460058 94955620 113946744 128190087 142433430 170920116 189911240 213650145 256380174 284866860 341840232 427300290 512760348 569733720 640950435 854600580 1025520696 1281900870 1709201160 2563801740 5127603480