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80825810503401 = 3343536171303287
BaseRepresentation
bin10010011000001010111001…
…101110010100011011101001
3101121011212112201000012002000
4102120022321232110123221
541043222224442102101
6443522510441401213
723011320634434405
oct2230127156243351
9347155481005060
1080825810503401
11238320409a5087
129094700499209
133613ac22349c2
1415d5dc0ba4105
159526e8b4c486
hex4982b9b946e9

80825810503401 has 128 divisors (see below), whose sum is σ = 128672530145280. Its totient is φ = 50075672774400.

The previous prime is 80825810503369. The next prime is 80825810503463. The reversal of 80825810503401 is 10430501852808.

80825810503401 is a `hidden beast` number, since 8 + 0 + 8 + 25 + 81 + 0 + 503 + 40 + 1 = 666.

It is not a de Polignac number, because 80825810503401 - 25 = 80825810503369 is a prime.

It is not an unprimeable number, because it can be changed into a prime (80825810503601) 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 127 ways as a sum of consecutive naturals, for example, 266347780 + ... + 266651066.

It is an arithmetic number, because the mean of its divisors is an integer number (1005254141760).

Almost surely, 280825810503401 is an apocalyptic number.

It is an amenable number.

80825810503401 is a deficient number, since it is larger than the sum of its proper divisors (47846719641879).

80825810503401 is a wasteful number, since it uses less digits than its factorization.

80825810503401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303524 (or 303518 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 45.

The spelling of 80825810503401 in words is "eighty trillion, eight hundred twenty-five billion, eight hundred ten million, five hundred three thousand, four hundred one".

Divisors: 1 3 9 27 43 53 61 71 129 159 183 213 387 477 549 639 1161 1431 1647 1917 2279 2623 3053 3233 3763 4331 6837 7869 9159 9699 11289 12993 20511 23607 27477 29097 33867 38979 61533 70821 82431 87291 101601 116937 139019 161809 186233 229543 303287 417057 485427 558699 688629 909861 1251171 1456281 1676097 2065887 2729583 3753513 4368843 5028291 6197661 8188749 9870349 13041341 16074211 18500507 21533377 29611047 39124023 48222633 55501521 64600131 88833141 117372069 144667899 166504563 193800393 266499423 352116207 434003697 499513689 581401179 691191073 795521801 925935211 980526871 1141268981 1313535997 2073573219 2386565403 2777805633 2941580613 3423806943 3940607991 6220719657 7159696209 8333416899 8824741839 10271420829 11821823973 18662158971 21479088627 25000250697 26474225517 30814262487 35465471919 42162655453 49074566183 56482047871 69617407841 126487966359 147223698549 169446143613 208852223523 379463899077 441671095647 508338430839 626556670569 1138391697231 1325013286941 1525015292517 1879670011707 2993548537163 8980645611489 26941936834467 80825810503401