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5187134358 = 2327293474091
BaseRepresentation
bin1001101010010110…
…10110001110010110
3111101111111201122100
410311023112032112
541110401244413
62214414142530
7242353625460
oct46513261626
914344451570
105187134358
1122220028aa
1210091b1a46
1364885cb93
14372c95130
152055bda73
hex1352d6396

5187134358 has 96 divisors (see below), whose sum is σ = 13328789760. Its totient is φ = 1426461120.

The previous prime is 5187134357. The next prime is 5187134383. The reversal of 5187134358 is 8534317815.

It is a happy number.

5187134358 is a `hidden beast` number, since 518 + 71 + 34 + 35 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5187134357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1265893 + ... + 1269983.

It is an arithmetic number, because the mean of its divisors is an integer number (138841560).

Almost surely, 25187134358 is an apocalyptic number.

5187134358 is a gapful number since it is divisible by the number (58) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5187134358, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6664394880).

5187134358 is an abundant number, since it is smaller than the sum of its proper divisors (8141655402).

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

5187134358 is a wasteful number, since it uses less digits than its factorization.

5187134358 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4482 (or 4479 counting only the distinct ones).

The product of its digits is 403200, while the sum is 45.

The square root of 5187134358 is about 72021.7630858895. The cubic root of 5187134358 is about 1731.0482201494.

The spelling of 5187134358 in words is "five billion, one hundred eighty-seven million, one hundred thirty-four thousand, three hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 29 42 58 63 87 126 174 203 261 347 406 522 609 694 1041 1218 1827 2082 2429 3123 3654 4091 4858 6246 7287 8182 10063 12273 14574 20126 21861 24546 28637 30189 36819 43722 57274 60378 70441 73638 85911 90567 118639 140882 171822 181134 211323 237278 257733 355917 422646 515466 633969 711834 830473 1067751 1267938 1419577 1660946 2135502 2491419 2839154 4258731 4982838 7474257 8517462 9937039 12776193 14948514 19874078 25552386 29811117 41167733 59622234 82335466 89433351 123503199 178866702 247006398 288174131 370509597 576348262 741019194 864522393 1729044786 2593567179 5187134358