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137130946799 = 72113141200171
BaseRepresentation
bin111111110110110100…
…1000011000011101111
3111002221220001212122112
41333231221003003233
54221321010244144
6142555212034235
712623142546500
oct1775551030357
9432856055575
10137130946799
115317a931aa0
12226b0a6297b
13cc15368192
1468cc590ba7
153878de699e
hex1feda430ef

137130946799 has 48 divisors (see below), whose sum is σ = 184017318912. Its totient is φ = 100885680000.

The previous prime is 137130946787. The next prime is 137130946819. The reversal of 137130946799 is 997649031731.

It is not a de Polignac number, because 137130946799 - 232 = 132835979503 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137130946759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 584984 + ... + 785154.

It is an arithmetic number, because the mean of its divisors is an integer number (3833694144).

Almost surely, 2137130946799 is an apocalyptic number.

137130946799 is a deficient number, since it is larger than the sum of its proper divisors (46886372113).

137130946799 is a wasteful number, since it uses less digits than its factorization.

137130946799 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200268 (or 200261 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 59.

The spelling of 137130946799 in words is "one hundred thirty-seven billion, one hundred thirty million, nine hundred forty-six thousand, seven hundred ninety-nine".

Divisors: 1 7 11 31 41 49 77 217 287 341 451 539 1271 1519 2009 2387 3157 8897 13981 16709 22099 62279 97867 200171 685069 1401197 2201881 6205301 8207011 9808379 15413167 43437107 57449077 68258311 90277121 107892169 254417341 304059749 402143539 477808177 631939847 1780921387 2798590751 3344657239 4423578929 12466449709 19590135257 137130946799