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5187144105 = 32511134631741
BaseRepresentation
bin1001101010010110…
…11000100110101001
3111101111112020000100
410311023120212221
541110402102410
62214414300013
7242353666053
oct46513304651
914344466010
105187144105
11222200a160
1210091b7609
13648864450
14372c988d3
152055c18c0
hex1352d89a9

5187144105 has 96 divisors (see below), whose sum is σ = 10591805952. Its totient is φ = 2315174400.

The previous prime is 5187144043. The next prime is 5187144107. The reversal of 5187144105 is 5014417815.

It is not a de Polignac number, because 5187144105 - 221 = 5185046953 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 5187144105.

It is not an unprimeable number, because it can be changed into a prime (5187144107) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2978535 + ... + 2980275.

It is an arithmetic number, because the mean of its divisors is an integer number (110331312).

Almost surely, 25187144105 is an apocalyptic number.

5187144105 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5187144105 is an abundant number, since it is smaller than the sum of its proper divisors (5404661847).

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

5187144105 is a wasteful number, since it uses less digits than its factorization.

5187144105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2236 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 36.

The square root of 5187144105 is about 72021.8307529044. The cubic root of 5187144105 is about 1731.0493044036.

The spelling of 5187144105 in words is "five billion, one hundred eighty-seven million, one hundred forty-four thousand, one hundred five".

Divisors: 1 3 5 9 11 13 15 33 39 45 55 65 99 117 143 165 195 429 463 495 585 715 1287 1389 1741 2145 2315 4167 5093 5223 6019 6435 6945 8705 15279 15669 18057 19151 20835 22633 25465 26115 30095 45837 54171 57453 66209 67899 76395 78345 90285 95755 113165 172359 198627 203697 229185 248963 270855 287265 331045 339495 595881 746889 806083 861795 993135 1018485 1244815 2240667 2418249 2979405 3734445 4030415 7254747 8866913 10479079 11203335 12091245 26600739 31437237 36273735 44334565 52395395 79802217 94311711 115269869 133003695 157186185 345809607 399011085 471558555 576349345 1037428821 1729048035 5187144105