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5181040137 = 3721319314603
BaseRepresentation
bin1001101001101000…
…00110011000001001
3111101002001002221110
410310310012120021
541102321241022
62214035400533
7242251054200
oct46464063011
914332032843
105181040137
112219620159
121007153149
13647508030
1437214a237
15204cb800c
hex134d06609

5181040137 has 96 divisors (see below), whose sum is σ = 9405419520. Its totient is φ = 2504960640.

The previous prime is 5181040129. The next prime is 5181040141. The reversal of 5181040137 is 7310401815.

It is not a de Polignac number, because 5181040137 - 23 = 5181040129 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5181040177) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1123278 + ... + 1127880.

It is an arithmetic number, because the mean of its divisors is an integer number (97973120).

Almost surely, 25181040137 is an apocalyptic number.

5181040137 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

5181040137 is a deficient number, since it is larger than the sum of its proper divisors (4224379383).

5181040137 is a wasteful number, since it uses less digits than its factorization.

5181040137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683 (or 4676 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 30.

The square root of 5181040137 is about 71979.4424610249. The cubic root of 5181040137 is about 1730.3700342262.

The spelling of 5181040137 in words is "five billion, one hundred eighty-one million, forty thousand, one hundred thirty-seven".

Divisors: 1 3 7 13 19 21 31 39 49 57 91 93 133 147 217 247 273 399 403 589 637 651 741 931 1209 1519 1729 1767 1911 2793 2821 4123 4557 4603 5187 7657 8463 12103 12369 13809 19747 22971 28861 32221 36309 53599 59241 59839 86583 87457 96663 142693 160797 179517 225547 262371 375193 418873 428079 612199 676641 998851 1125579 1136941 1256619 1836597 1855009 2711167 2932111 2996553 3410823 4285393 5565027 6991957 7958587 8133501 8796333 12856179 12985063 18978169 20975871 23875761 35245171 38955189 55710109 56934507 90895441 105735513 132847183 167130327 246716197 272686323 398541549 740148591 1727013379 5181040137