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5103656448 = 29311379797
BaseRepresentation
bin1001100000011001…
…11001111000000000
3111011200102121110220
410300030321320000
540423014001243
62202233023040
7240321235602
oct46014717000
914150377426
105103656448
1121899766a0
12ba5254a80
13634482777
14365b65172
151ed0ce783
hex130339e00

5103656448 has 160 divisors (see below), whose sum is σ = 14890296960. Its totient is φ = 1540546560.

The previous prime is 5103656447. The next prime is 5103656477. The reversal of 5103656448 is 8446563015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5103656447) 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, 6403186 + ... + 6403982.

It is an arithmetic number, because the mean of its divisors is an integer number (93064356).

Almost surely, 25103656448 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 5103656448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7445148480).

5103656448 is an abundant number, since it is smaller than the sum of its proper divisors (9786640512).

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

5103656448 is a wasteful number, since it uses less digits than its factorization.

5103656448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1208 (or 1192 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 42.

The square root of 5103656448 is about 71439.8799551063. The cubic root of 5103656448 is about 1721.7118849541.

The spelling of 5103656448 in words is "five billion, one hundred three million, six hundred fifty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 256 264 352 379 384 512 528 704 758 768 797 1056 1137 1408 1516 1536 1594 2112 2274 2391 2816 3032 3188 4169 4224 4548 4782 5632 6064 6376 8338 8448 8767 9096 9564 12128 12507 12752 16676 16896 17534 18192 19128 24256 25014 25504 26301 33352 35068 36384 38256 48512 50028 51008 52602 66704 70136 72768 76512 97024 100056 102016 105204 133408 140272 145536 153024 194048 200112 204032 210408 266816 280544 291072 302063 306048 400224 408064 420816 533632 561088 582144 604126 612096 800448 841632 906189 1067264 1122176 1208252 1224192 1600896 1683264 1812378 2134528 2244352 2416504 3201792 3322693 3366528 3624756 4488704 4833008 6403584 6645386 6733056 7249512 9666016 9968079 13290772 13466112 14499024 19332032 19936158 26581544 28998048 38664064 39872316 53163088 57996096 77328128 79744632 106326176 115992192 154656256 159489264 212652352 231984384 318978528 425304704 463968768 637957056 850609408 1275914112 1701218816 2551828224 5103656448