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23506213401664 = 2671729313340027
BaseRepresentation
bin1010101100000111101110…
…11111111111010001000000
310002020011122102120000001221
411112003313133333101000
511040111211112323124
6121554334431404424
74644160611136120
oct526036737772100
9102204572500057
1023506213401664
117542a24728904
1227777b3383714
13101681b2c7726
145b39c7656c80
152ab6b594ace4
hex1560f77ff440

23506213401664 has 224 divisors, whose sum is σ = 58577630042880. Its totient is φ = 9125275041792.

The previous prime is 23506213401653. The next prime is 23506213401679. The reversal of 23506213401664 is 46610431260532.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a self number, because there is not a number n which added to its sum of digits gives 23506213401664.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 68960419 + ... + 69300445.

Almost surely, 223506213401664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23506213401664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29288815021440).

23506213401664 is an abundant number, since it is smaller than the sum of its proper divisors (35071416641216).

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

23506213401664 is a wasteful number, since it uses less digits than its factorization.

23506213401664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 340405 (or 340395 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 43.

The spelling of 23506213401664 in words is "twenty-three trillion, five hundred six billion, two hundred thirteen million, four hundred one thousand, six hundred sixty-four".