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83468554340733 = 321917319931415707
BaseRepresentation
bin10010111110101000001001…
…100010000000100101111101
3101221112111221001210000020200
4102332220021202000211331
541420022044402400413
6453304531405434113
723403255405424152
oct2276501142004575
9357474831700220
1083468554340733
11246608a69a5061
129440921b6b939
133776087aa08c3
141687c8466a229
1599b31e2c3573
hex4bea0988097d

83468554340733 has 48 divisors (see below), whose sum is σ = 127708980060480. Its totient is φ = 52385924074752.

The previous prime is 83468554340719. The next prime is 83468554340777. The reversal of 83468554340733 is 33704345586438.

83468554340733 is a `hidden beast` number, since 8 + 3 + 4 + 6 + 8 + 554 + 3 + 4 + 0 + 73 + 3 = 666.

It is not a de Polignac number, because 83468554340733 - 214 = 83468554324349 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83468554340233) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 58251066 + ... + 59666772.

It is an arithmetic number, because the mean of its divisors is an integer number (2660603751260).

Almost surely, 283468554340733 is an apocalyptic number.

It is an amenable number.

83468554340733 is a deficient number, since it is larger than the sum of its proper divisors (44240425719747).

83468554340733 is a wasteful number, since it uses less digits than its factorization.

83468554340733 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1417898 (or 1417895 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 63.

The spelling of 83468554340733 in words is "eighty-three trillion, four hundred sixty-eight billion, five hundred fifty-four million, three hundred forty thousand, seven hundred thirty-three".

Divisors: 1 3 9 19 57 171 173 519 1557 1993 3287 5979 9861 17937 29583 37867 113601 340803 344789 1034367 1415707 3103101 4247121 6550991 12741363 19652973 26898433 58958919 80695299 242085897 244917311 734751933 2204255799 2821504051 4653428909 8464512153 13960286727 25393536459 41880860181 53608576969 160825730907 482477192721 488120200823 1464360602469 4393081807407 9274283815637 27822851446911 83468554340733