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423474837345 = 33571153388657
BaseRepresentation
bin1100010100110010001…
…00010011011101100001
31111111001200121122222000
412022121010103131201
523414234024243340
6522312555234213
742411046504020
oct6123104233541
91444050548860
10423474837345
1115365a56211a
126a0a4a48969
1330c19bb2341
14166d3b768b7
15b037750d30
hex6299113761

423474837345 has 64 divisors (see below), whose sum is σ = 861141757440. Its totient is φ = 193420099584.

The previous prime is 423474837277. The next prime is 423474837347. The reversal of 423474837345 is 543738474324.

423474837345 is a `hidden beast` number, since 4 + 23 + 474 + 83 + 73 + 4 + 5 = 666.

It is not a de Polignac number, because 423474837345 - 28 = 423474837089 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 423474837291 and 423474837300.

It is not an unprimeable number, because it can be changed into a prime (423474837347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 895257 + ... + 1283913.

It is an arithmetic number, because the mean of its divisors is an integer number (13455339960).

Almost surely, 2423474837345 is an apocalyptic number.

423474837345 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

423474837345 is an abundant number, since it is smaller than the sum of its proper divisors (437666920095).

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

423474837345 is a wasteful number, since it uses less digits than its factorization.

423474837345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389831 (or 389825 counting only the distinct ones).

The product of its digits is 27095040, while the sum is 54.

The spelling of 423474837345 in words is "four hundred twenty-three billion, four hundred seventy-four million, eight hundred thirty-seven thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 135 189 315 945 1153 3459 5765 8071 10377 17295 24213 31131 40355 51885 72639 121065 155655 217917 363195 388657 1089585 1165971 1943285 2720599 3497913 5829855 8161797 10493739 13602995 17489565 24485391 40808985 52468695 73456173 122426955 367280865 448121521 1344364563 2240607605 3136850647 4033093689 6721822815 9410551941 12099281067 15684253235 20165468445 28231655823 47052759705 60496405335 84694967469 141158279115 423474837345