Search a number
-
+
137127269889 = 321931474311277
BaseRepresentation
bin111111110110101101…
…1000001011000000001
3111002221122011001212200
41333231123001120001
54221314040114024
6142555001143413
712623066363601
oct1775533013001
9432848131780
10137127269889
1153178850525
12226ab78ab69
13cc1467b6ac
1468cbcb4c01
15387891c2c9
hex1fed6c1601

137127269889 has 96 divisors (see below), whose sum is σ = 220485058560. Its totient is φ = 81775267200.

The previous prime is 137127269869. The next prime is 137127269971. The reversal of 137127269889 is 988962721731.

It is not a de Polignac number, because 137127269889 - 28 = 137127269633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137127269809) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 107381719 + ... + 107382995.

It is an arithmetic number, because the mean of its divisors is an integer number (2296719360).

Almost surely, 2137127269889 is an apocalyptic number.

137127269889 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

137127269889 is a deficient number, since it is larger than the sum of its proper divisors (83357788671).

137127269889 is a wasteful number, since it uses less digits than its factorization.

137127269889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1808 counting only the distinct ones).

The product of its digits is 18289152, while the sum is 63.

The spelling of 137127269889 in words is "one hundred thirty-seven billion, one hundred twenty-seven million, two hundred sixty-nine thousand, eight hundred eighty-nine".

Divisors: 1 3 9 19 31 47 57 93 141 171 279 423 431 589 893 1277 1293 1457 1767 2679 3831 3879 4371 5301 8037 8189 11493 13113 13361 20257 24263 24567 27683 39587 40083 60019 60771 72789 73701 83049 118761 120249 180057 182313 218367 249147 253859 356283 384883 540171 550387 627967 752153 761577 1140361 1154649 1651161 1860589 1883901 2256459 2284731 3421083 3463947 4953483 5581767 5651703 6769377 10263249 10457353 11931373 16745301 17061997 25868189 31372059 35351191 35794119 51185991 77604567 94116177 106053573 107382357 153557973 232813701 318160719 324177943 491495591 801913859 972533829 1474486773 2405741577 2917601487 4423460319 7217224731 15236363321 45709089963 137127269889