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48580377408 = 2632382122073
BaseRepresentation
bin101101001111100111…
…011011101101000000
311122101122112212112100
4231033213123231000
51243443034034113
634152330030400
73336603252243
oct551747335500
9148348485470
1048580377408
111966a3a1642
1294b9578400
134772910864
1424cbd9125a
1513e4e25d73
hexb4f9dbb40

48580377408 has 84 divisors (see below), whose sum is σ = 139289633028. Its totient is φ = 16188487680.

The previous prime is 48580377407. The next prime is 48580377409. The reversal of 48580377408 is 80477308584.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (48580377407) and next prime (48580377409).

It can be written as a sum of positive squares in 2 ways, for example, as 45604456704 + 2975920704 = 213552^2 + 54552^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48580377407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2189860 + ... + 2211932.

It is an arithmetic number, because the mean of its divisors is an integer number (1658209917).

Almost surely, 248580377408 is an apocalyptic number.

48580377408 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48580377408 is an abundant number, since it is smaller than the sum of its proper divisors (90709255620).

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

48580377408 is a wasteful number, since it uses less digits than its factorization.

48580377408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25912 (or 25899 counting only the distinct ones).

The product of its (nonzero) digits is 6021120, while the sum is 54.

The spelling of 48580377408 in words is "forty-eight billion, five hundred eighty million, three hundred seventy-seven thousand, four hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 3821 7642 11463 15284 22073 22926 30568 34389 44146 45852 61136 66219 68778 88292 91704 122272 132438 137556 176584 183408 198657 244544 264876 275112 353168 366816 397314 529752 550224 706336 733632 794628 1059504 1100448 1412672 1589256 2119008 2200896 3178512 4238016 6357024 12714048 84340933 168681866 253022799 337363732 506045598 674727464 759068397 1012091196 1349454928 1518136794 2024182392 2698909856 3036273588 4048364784 5397819712 6072547176 8096729568 12145094352 16193459136 24290188704 48580377408