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131538909642 = 237371011276599
BaseRepresentation
bin111101010000001010…
…1000111100111001010
3110120112011122221210020
41322200111013213022
54123342430102032
6140232251201310
712334441166250
oct1724025074712
9416464587706
10131538909642
1150870315788
12215b0146236
13c53396b25a
14651ba1a5d0
15364cee6b2c
hex1ea05479ca

131538909642 has 128 divisors (see below), whose sum is σ = 314346700800. Its totient is φ = 35914233600.

The previous prime is 131538909637. The next prime is 131538909643. The reversal of 131538909642 is 246909835131.

It is not an unprimeable number, because it can be changed into a prime (131538909643) 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, 19929859 + ... + 19936457.

It is an arithmetic number, because the mean of its divisors is an integer number (2455833600).

Almost surely, 2131538909642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131538909642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157173350400).

131538909642 is an abundant number, since it is smaller than the sum of its proper divisors (182807791158).

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

131538909642 is a wasteful number, since it uses less digits than its factorization.

131538909642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6876.

The product of its (nonzero) digits is 1399680, while the sum is 51.

The spelling of 131538909642 in words is "one hundred thirty-one billion, five hundred thirty-eight million, nine hundred nine thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 14 21 37 42 74 101 111 127 202 222 254 259 303 381 518 606 707 762 777 889 1414 1554 1778 2121 2667 3737 4242 4699 5334 6599 7474 9398 11211 12827 13198 14097 19797 22422 25654 26159 28194 32893 38481 39594 46193 52318 65786 76962 78477 89789 92386 98679 138579 156954 179578 197358 244163 269367 277158 474599 488326 538734 666499 732489 838073 949198 1332998 1423797 1464978 1676146 1709141 1999497 2514219 2847594 3322193 3418282 3998994 4665493 5028438 5127423 5866511 6644386 9330986 9966579 10254846 11733022 13996479 17599533 19933158 24660463 27992958 31008701 35199066 49320926 62017402 73981389 84645373 93026103 147962778 169290746 172623241 186052206 217060907 253936119 345246482 434121814 507872238 517869723 592517611 651182721 1035739446 1185035222 1302365442 1777552833 3131878801 3555105666 6263757602 9395636403 18791272806 21923151607 43846303214 65769454821 131538909642