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146681589027 = 31937227306389
BaseRepresentation
bin1000100010011011100…
…1110110110100100011
3112000121111021202210110
42020212321312310203
54400400441322102
6151215023302403
713411622635461
oct2104671666443
9460544252713
10146681589027
1157230a29946
122451744aa03
1310aa7c2207c
147156b81831
153c375e186c
hex2226e76d23

146681589027 has 32 divisors (see below), whose sum is σ = 212365036800. Its totient is φ = 89739819648.

The previous prime is 146681589023. The next prime is 146681589029. The reversal of 146681589027 is 720985186641.

146681589027 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 146681589027 - 22 = 146681589023 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (146681589023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 325549 + ... + 631937.

It is an arithmetic number, because the mean of its divisors is an integer number (6636407400).

Almost surely, 2146681589027 is an apocalyptic number.

146681589027 is a deficient number, since it is larger than the sum of its proper divisors (65683447773).

146681589027 is a wasteful number, since it uses less digits than its factorization.

146681589027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306675.

The product of its (nonzero) digits is 5806080, while the sum is 57.

The spelling of 146681589027 in words is "one hundred forty-six billion, six hundred eighty-one million, five hundred eighty-nine thousand, twenty-seven".

Divisors: 1 3 19 37 57 111 227 681 703 2109 4313 8399 12939 25197 159581 306389 478743 919167 5821391 11336393 17464173 34009179 69550303 208650909 215391467 646174401 1321455757 2573361211 3964367271 7720083633 48893863009 146681589027