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5061637504 = 27711618419
BaseRepresentation
bin1001011011011001…
…00111010110000000
3111001202100211022201
410231230213112000
540331234400004
62154132242544
7236301131440
oct45554472600
914052324281
105061637504
1121681871a0
12b93170454
1362885cca1
14360348120
151e957e6a4
hex12db27580

5061637504 has 128 divisors (see below), whose sum is σ = 12779539200. Its totient is φ = 1939507200.

The previous prime is 5061637489. The next prime is 5061637507. The reversal of 5061637504 is 4057361605.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5061637507) 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, 597007 + ... + 605425.

It is an arithmetic number, because the mean of its divisors is an integer number (99840150).

Almost surely, 25061637504 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 5061637504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6389769600).

5061637504 is an abundant number, since it is smaller than the sum of its proper divisors (7717901696).

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

5061637504 is a wasteful number, since it uses less digits than its factorization.

5061637504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8500 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 37.

The square root of 5061637504 is about 71145.1860915410. The cubic root of 5061637504 is about 1716.9738460493.

The spelling of 5061637504 in words is "five billion, sixty-one million, six hundred thirty-seven thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 61 64 77 88 112 122 128 154 176 224 244 308 352 427 448 488 616 671 704 854 896 976 1232 1342 1408 1708 1952 2464 2684 3416 3904 4697 4928 5368 6832 7808 8419 9394 9856 10736 13664 16838 18788 21472 27328 33676 37576 42944 54656 58933 67352 75152 85888 92609 117866 134704 150304 185218 235732 269408 300608 370436 471464 513559 538816 601216 648263 740872 942928 1027118 1077632 1296526 1481744 1885856 2054236 2593052 2963488 3594913 3771712 4108472 5186104 5649149 5926976 7189826 7543424 8216944 10372208 11298298 11853952 14379652 16433888 20744416 22596596 28759304 32867776 39544043 41488832 45193192 57518608 65735552 79088086 82977664 90386384 115037216 158176172 180772768 230074432 316352344 361545536 460148864 632704688 723091072 1265409376 2530818752 5061637504