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80144516151 = 34717194310177
BaseRepresentation
bin100101010100011111…
…1000100010000110111
321122212102001020220000
41022220333010100313
52303113444004101
6100452355042343
75535025101330
oct1125077042067
9248772036800
1080144516151
1130a97543217
12136482a03b3
13773306392b
143c44037287
152141018486
hex12a8fc4437

80144516151 has 160 divisors (see below), whose sum is σ = 156060495360. Its totient is φ = 39880802304.

The previous prime is 80144516143. The next prime is 80144516171. The reversal of 80144516151 is 15161544108.

80144516151 is a `hidden beast` number, since 8 + 0 + 1 + 445 + 161 + 51 = 666.

It is not a de Polignac number, because 80144516151 - 23 = 80144516143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80144516131) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7869975 + ... + 7880151.

It is an arithmetic number, because the mean of its divisors is an integer number (975378096).

Almost surely, 280144516151 is an apocalyptic number.

80144516151 is a gapful number since it is divisible by the number (81) formed by its first and last digit.

80144516151 is a deficient number, since it is larger than the sum of its proper divisors (75915979209).

80144516151 is a wasteful number, since it uses less digits than its factorization.

80144516151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10275 (or 10266 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 80144516151 in words is "eighty billion, one hundred forty-four million, five hundred sixteen thousand, one hundred fifty-one".

Divisors: 1 3 7 9 17 19 21 27 43 51 57 63 81 119 129 133 153 171 189 301 323 357 387 399 459 513 567 731 817 903 969 1071 1161 1197 1377 1539 2193 2261 2451 2709 2907 3213 3483 3591 5117 5719 6579 6783 7353 8127 8721 9639 10177 10773 13889 15351 17157 19737 20349 22059 24381 26163 30531 41667 46053 51471 59211 61047 66177 71239 91593 97223 125001 138159 154413 173009 183141 193363 213717 274779 291669 375003 414477 437611 463239 519027 580089 641151 824337 875007 1125009 1211063 1312833 1353541 1557081 1740267 1923453 2625021 3063277 3287171 3633189 3938499 4060623 4671243 5220801 5770359 7439387 7875063 8314609 9189831 9861513 10899567 11815497 12181869 14013729 15662403 22318161 23010197 24943827 27569493 29584539 32698701 35446491 36545607 52075709 58202263 66954483 69030591 74831481 82708479 88753617 98096103 109636821 141348353 156227127 174606789 200863449 207091773 224494443 248125437 266260851 424045059 468681381 523820367 602590347 621275319 673483329 989438471 1272135177 1406044143 1571461101 1863825957 2968315413 3816405531 4218132429 4714383303 8904946239 11449216593 26714838717 80144516151