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18970121600 = 275261157619
BaseRepresentation
bin10001101010101101…
…010001010110000000
31210222001122000200022
4101222231101112000
5302322322342400
612414215313012
71241045241653
oct215255212600
953861560608
1018970121600
118055159151
12381507b768
131a34208c31
14cbd5db89a
15760636b85
hex46ab51580

18970121600 has 192 divisors, whose sum is σ = 48011175600. Its totient is φ = 7404134400.

The previous prime is 18970121587. The next prime is 18970121603. The reversal of 18970121600 is 612107981.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18970121603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30646091 + ... + 30646709.

Almost surely, 218970121600 is an apocalyptic number.

18970121600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18970121600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24005587800).

18970121600 is an abundant number, since it is smaller than the sum of its proper divisors (29041054000).

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

18970121600 is a wasteful number, since it uses less digits than its factorization.

18970121600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 861 (or 844 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 35.

The spelling of 18970121600 in words is "eighteen billion, nine hundred seventy million, one hundred twenty-one thousand, six hundred".