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5010205928 = 23713103109613
BaseRepresentation
bin1001010101010000…
…11010110011101000
3110221011120211110112
410222220122303220
540230103042203
62145054033452
7235105022240
oct45250326350
913834524415
105010205928
112141148962
12b79aa8888
1361acc30c0
1435759ab20
151e4cc06d8
hex12aa1ace8

5010205928 has 128 divisors (see below), whose sum is σ = 11800588800. Its totient is φ = 1941636096.

The previous prime is 5010205919. The next prime is 5010205987. The reversal of 5010205928 is 8295020105.

It is a junction number, because it is equal to n+sod(n) for n = 5010205894 and 5010205903.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8172950 + ... + 8173562.

It is an arithmetic number, because the mean of its divisors is an integer number (92192100).

Almost surely, 25010205928 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 5010205928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5900294400).

5010205928 is an abundant number, since it is smaller than the sum of its proper divisors (6790382872).

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

5010205928 is a wasteful number, since it uses less digits than its factorization.

5010205928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 847 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 32.

The square root of 5010205928 is about 70782.8081386999. The cubic root of 5010205928 is about 1711.1386153872.

The spelling of 5010205928 in words is "five billion, ten million, two hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 103 104 109 182 206 218 364 412 436 613 721 728 763 824 872 1226 1339 1417 1442 1526 2452 2678 2834 2884 3052 4291 4904 5356 5668 5768 6104 7969 8582 9373 9919 10712 11227 11336 15938 17164 18746 19838 22454 31876 34328 37492 39676 44908 55783 63139 63752 66817 74984 78589 79352 89816 111566 126278 133634 145951 157178 223132 252556 267268 291902 314356 441973 446264 467719 505112 534536 583804 628712 820807 868621 883946 935438 1021657 1167608 1641614 1737242 1767892 1870876 2043314 3283228 3474484 3535784 3741752 4086628 5745649 6080347 6566456 6882151 6948968 8173256 11491298 12160694 13764302 22982596 24321388 27528604 45965192 48175057 48642776 55057208 89467963 96350114 178935926 192700228 357871852 385400456 626275741 715743704 1252551482 2505102964 5010205928