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137544445731 = 37111314639817
BaseRepresentation
bin1000000000011001001…
…0011010111100100011
3111011000201010210112210
42000012102122330203
54223142334230411
6143104222453203
712636323332650
oct2000622327443
9434021123483
10137544445731
1153372287950
12227a7434203
13cc7cc24ac4
14692b46ac27
1538a0374ca6
hex200649af23

137544445731 has 64 divisors (see below), whose sum is σ = 230911819776. Its totient is φ = 70745875200.

The previous prime is 137544445729. The next prime is 137544445757.

137544445731 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 137544445731 - 21 = 137544445729 is a prime.

It is a super-2 number, since 2×1375444457312 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137544445781) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14005935 + ... + 14015751.

It is an arithmetic number, because the mean of its divisors is an integer number (3607997184).

Almost surely, 2137544445731 is an apocalyptic number.

137544445731 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

137544445731 is a deficient number, since it is larger than the sum of its proper divisors (93367374045).

137544445731 is a wasteful number, since it uses less digits than its factorization.

137544445731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10432.

The product of its digits is 2822400, while the sum is 48.

The spelling of 137544445731 in words is "one hundred thirty-seven billion, five hundred forty-four million, four hundred forty-five thousand, seven hundred thirty-one".

Divisors: 1 3 7 11 21 33 77 131 231 393 463 917 1389 1441 2751 3241 4323 5093 9723 9817 10087 15279 29451 30261 35651 60653 68719 106953 107987 181959 206157 323961 424571 667183 755909 1273713 1286027 2001549 2267727 3858081 4545271 4670281 9002189 13635813 14010843 14146297 27006567 31816897 42438891 49997981 95450691 99024079 149993943 297072237 349985867 595430501 1049957601 1786291503 4168013507 6549735511 12504040521 19649206533 45848148577 137544445731