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36640441344 = 2103136171487
BaseRepresentation
bin100010000111111100…
…001100010000000000
310111120112110021102010
4202013330030100000
51100014423110334
624455443452520
72434661420103
oct420774142000
9114515407363
1036640441344
11145a2634991
127126987140
1335bc049130
141ab832a73a
15e46abc0e9
hex887f0c400

36640441344 has 176 divisors, whose sum is σ = 105413753088. Its totient is φ = 11248140288.

The previous prime is 36640441333. The next prime is 36640441361. The reversal of 36640441344 is 44314404663.

It is a super-3 number, since 3×366404413443 (a number of 33 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 24639769 + ... + 24641255.

Almost surely, 236640441344 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 36640441344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52706876544).

36640441344 is an abundant number, since it is smaller than the sum of its proper divisors (68773311744).

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

36640441344 is a wasteful number, since it uses less digits than its factorization.

36640441344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140 (or 2122 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 39.

The spelling of 36640441344 in words is "thirty-six billion, six hundred forty million, four hundred forty-one thousand, three hundred forty-four".