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5016475744 = 257289103349
BaseRepresentation
bin1001010110000000…
…10101100001100000
3110221121101101000221
410223000111201200
540233204210434
62145440252424
7235212224500
oct45300254140
913847341027
105016475744
112144740525
12b80011114
1361c3a9b57
1435834da00
151e560d2b4
hex12b015860

5016475744 has 144 divisors (see below), whose sum is σ = 11764116000. Its totient is φ = 2099091456.

The previous prime is 5016475733. The next prime is 5016475771. The reversal of 5016475744 is 4475746105.

It is a self number, because there is not a number n which added to its sum of digits gives 5016475744.

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 23 ways as a sum of consecutive naturals, for example, 14373682 + ... + 14374030.

It is an arithmetic number, because the mean of its divisors is an integer number (81695250).

Almost surely, 25016475744 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 5016475744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5882058000).

5016475744 is an abundant number, since it is smaller than the sum of its proper divisors (6747640256).

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

5016475744 is a wasteful number, since it uses less digits than its factorization.

5016475744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565 (or 550 counting only the distinct ones).

The product of its (nonzero) digits is 470400, while the sum is 43.

The square root of 5016475744 is about 70827.0834074085. The cubic root of 5016475744 is about 1711.8520958492.

The spelling of 5016475744 in words is "five billion, sixteen million, four hundred seventy-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 89 98 103 112 178 196 206 224 349 356 392 412 623 698 712 721 784 824 1246 1396 1424 1442 1568 1648 2443 2492 2792 2848 2884 3296 4361 4886 4984 5047 5584 5768 8722 9167 9772 9968 10094 11168 11536 17101 17444 18334 19544 19936 20188 23072 31061 34202 34888 35947 36668 39088 40376 62122 64169 68404 69776 71894 73336 78176 80752 124244 128338 136808 139552 143788 146672 161504 217427 248488 251629 256676 273616 287576 293344 434854 449183 496976 503258 513352 547232 575152 869708 898366 993952 1006516 1026704 1150304 1521989 1739416 1761403 1796732 2013032 2053408 3043978 3199283 3478832 3522806 3593464 4026064 6087956 6398566 6957664 7045612 7186928 8052128 12175912 12797132 14091224 14373856 22394981 24351824 25594264 28182448 44789962 48703648 51188528 56364896 89579924 102377056 156764867 179159848 313529734 358319696 627059468 716639392 1254118936 2508237872 5016475744