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5061088480 = 2557392221
BaseRepresentation
bin1001011011010101…
…00001010011100000
3111001201022221012111
410231222201103200
540331114312410
62154112405104
7236263354000
oct45552412340
914051287174
105061088480
112167941758
12b92b46794
136286ca116
14360244000
151e94c1b8a
hex12daa14e0

5061088480 has 96 divisors (see below), whose sum is σ = 13943966400. Its totient is φ = 1735211520.

The previous prime is 5061088477. The next prime is 5061088481. The reversal of 5061088480 is 848801605.

It is a super-2 number, since 2×50610884802 = 51229233204777420800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061088481) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8770 + ... + 100990.

It is an arithmetic number, because the mean of its divisors is an integer number (145249650).

Almost surely, 25061088480 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 5061088480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6971983200).

5061088480 is an abundant number, since it is smaller than the sum of its proper divisors (8882877920).

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

5061088480 is an equidigital number, since it uses as much as digits as its factorization.

5061088480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92257 (or 92235 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 40.

The square root of 5061088480 is about 71141.3275108077. The cubic root of 5061088480 is about 1716.9117650901.

The spelling of 5061088480 in words is "five billion, sixty-one million, eighty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 70 80 98 112 140 160 196 224 245 280 343 392 490 560 686 784 980 1120 1372 1568 1715 1960 2744 3430 3920 5488 6860 7840 10976 13720 27440 54880 92221 184442 368884 461105 645547 737768 922210 1291094 1475536 1844420 2582188 2951072 3227735 3688840 4518829 5164376 6455470 7377680 9037658 10328752 12910940 14755360 18075316 20657504 22594145 25821880 31631803 36150632 45188290 51643760 63263606 72301264 90376580 103287520 126527212 144602528 158159015 180753160 253054424 316318030 361506320 506108848 632636060 723012640 1012217696 1265272120 2530544240 5061088480