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146875078427166 = 23220294721851843
BaseRepresentation
bin100001011001010100000100…
…111000000100001000011110
3201021001010020202020002202200
4201121110010320010020132
5123222400130034132131
61240213251325432330
742636242235512115
oct4131240470041036
9637033222202680
10146875078427166
1142887409823a01
121458145a70b6a6
1363c535032259b
14283ab126d2c7c
1511ea857b212e6
hex859504e0421e

146875078427166 has 48 divisors (see below), whose sum is σ = 318453991324560. Its totient is φ = 48923807512320.

The previous prime is 146875078427131. The next prime is 146875078427173. The reversal of 146875078427166 is 661724870578641.

It is a happy number.

146875078427166 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 7 + 507 + 8 + 42 + 71 + 6 + 6 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 146875078427094 and 146875078427103.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 171994441 + ... + 172846283.

It is an arithmetic number, because the mean of its divisors is an integer number (6634458152595).

Almost surely, 2146875078427166 is an apocalyptic number.

146875078427166 is an abundant number, since it is smaller than the sum of its proper divisors (171578912897394).

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

146875078427166 is a wasteful number, since it uses less digits than its factorization.

146875078427166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 858601 (or 858598 counting only the distinct ones).

The product of its (nonzero) digits is 758661120, while the sum is 72.

The spelling of 146875078427166 in words is "one hundred forty-six trillion, eight hundred seventy-five billion, seventy-eight million, four hundred twenty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 18 2029 4058 4721 6087 9442 12174 14163 18261 28326 36522 42489 84978 851843 1703686 2555529 5111058 7666587 9578909 15333174 19157818 28736727 57473454 86210181 172420362 1728389447 3456778894 4021550803 5185168341 8043101606 10370336682 12064652409 15555505023 24129304818 31111010046 36193957227 72387914454 8159726579287 16319453158574 24479179737861 48958359475722 73437539213583 146875078427166