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83213539245 = 3454719492243
BaseRepresentation
bin100110101111111101…
…0011101011110101101
321221210021221210010000
41031133322131132231
52330410131223440
6102121110534513
76004052261454
oct1153772353655
9257707853100
1083213539245
1132321967741
1214164067439
137b01b34125
144055889b9b
152270693730
hex135fe9d7ad

83213539245 has 80 divisors (see below), whose sum is σ = 152487878400. Its totient is φ = 43394645376.

The previous prime is 83213539231. The next prime is 83213539247. The reversal of 83213539245 is 54293531238.

83213539245 is a `hidden beast` number, since 8 + 3 + 213 + 5 + 392 + 45 = 666.

It is not a de Polignac number, because 83213539245 - 24 = 83213539229 is a prime.

It is a super-2 number, since 2×832135392452 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 83213539245.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83213539247) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 37098094 + ... + 37100336.

It is an arithmetic number, because the mean of its divisors is an integer number (1906098480).

Almost surely, 283213539245 is an apocalyptic number.

It is an amenable number.

83213539245 is a deficient number, since it is larger than the sum of its proper divisors (69274339155).

83213539245 is a wasteful number, since it uses less digits than its factorization.

83213539245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4256 (or 4247 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 83213539245 in words is "eighty-three billion, two hundred thirteen million, five hundred thirty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 15 27 45 47 81 135 141 235 405 423 705 1269 1949 2115 2243 3807 5847 6345 6729 9745 11215 17541 19035 20187 29235 33645 52623 60561 87705 91603 100935 105421 157869 181683 263115 274809 302805 316263 458015 527105 789345 824427 908415 948789 1374045 1581315 2473281 2846367 4122135 4371607 4743945 7419843 8539101 12366405 13114821 14231835 21858035 37099215 39344463 42695505 65574105 118033389 196722315 205465529 354100167 590166945 616396587 1027327645 1770500835 1849189761 3081982935 5547569283 9245948805 16642707849 27737846415 83213539245