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131652173328 = 243132310698581
BaseRepresentation
bin111101010011100010…
…1001011111000010000
3110120211001210100100120
41322213011023320100
54124110424021303
6140251414550240
712340315003134
oct1724705137020
9416731710316
10131652173328
1150919246435
1221622068380
13c551276ca0
14652caa13c4
153657e1b553
hex1ea714be10

131652173328 has 160 divisors (see below), whose sum is σ = 382589679360. Its totient is φ = 38706370560.

The previous prime is 131652173321. The next prime is 131652173357. The reversal of 131652173328 is 823371256131.

It is a self number, because there is not a number n which added to its sum of digits gives 131652173328.

It is not an unprimeable number, because it can be changed into a prime (131652173321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15337998 + ... + 15346578.

It is an arithmetic number, because the mean of its divisors is an integer number (2391185496).

Almost surely, 2131652173328 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131652173328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191294839680).

131652173328 is an abundant number, since it is smaller than the sum of its proper divisors (250937506032).

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

131652173328 is a wasteful number, since it uses less digits than its factorization.

131652173328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9697 (or 9691 counting only the distinct ones).

The product of its digits is 181440, while the sum is 42.

The spelling of 131652173328 in words is "one hundred thirty-one billion, six hundred fifty-two million, one hundred seventy-three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 23 24 26 39 46 48 52 69 78 92 104 138 156 184 208 276 299 312 368 552 598 624 897 1069 1104 1196 1794 2138 2392 3207 3588 4276 4784 6414 7176 8552 8581 12828 13897 14352 17104 17162 24587 25656 25743 27794 34324 41691 49174 51312 51486 55588 68648 73761 83382 98348 102972 111176 111553 137296 147522 166764 196696 197363 205944 222352 223106 295044 319631 333528 334659 393392 394726 411888 446212 590088 592089 639262 667056 669318 789452 892424 958893 1180176 1184178 1278524 1338636 1578904 1784848 1917786 2368356 2557048 2565719 2677272 3157808 3835572 4736712 5114096 5131438 5354544 7671144 7697157 9173089 9473424 10262876 15342288 15394314 18346178 20525752 27519267 30788628 36692356 41051504 55038534 61577256 73384712 110077068 119250157 123154512 146769424 210981047 220154136 238500314 357750471 421962094 440308272 477000628 632943141 715500942 843924188 954001256 1265886282 1431001884 1687848376 1908002512 2531772564 2742753611 2862003768 3375696752 5063545128 5485507222 5724007536 8228260833 10127090256 10971014444 16456521666 21942028888 32913043332 43884057776 65826086664 131652173328