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36420836928 = 2637374715583
BaseRepresentation
bin100001111010110110…
…011101111001000000
310111000020020012210020
4201322312131321000
51044042213240203
624422000533440
72426354002020
oct417266357100
9114006205706
1036420836928
111449a681933
127085321280
1335856b97a8
141a970c3a80
15e3268e153
hex87ad9de40

36420836928 has 224 divisors, whose sum is σ = 115520077824. Its totient is φ = 9908656128.

The previous prime is 36420836923. The next prime is 36420836957. The reversal of 36420836928 is 82963802463.

36420836928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a super-3 number, since 3×364208369283 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (36420836923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2329425 + ... + 2345007.

Almost surely, 236420836928 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 36420836928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57760038912).

36420836928 is an abundant number, since it is smaller than the sum of its proper divisors (79099240896).

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

36420836928 is a wasteful number, since it uses less digits than its factorization.

36420836928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15689 (or 15679 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 51.

The spelling of 36420836928 in words is "thirty-six billion, four hundred twenty million, eight hundred thirty-six thousand, nine hundred twenty-eight".