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35650640340 = 223257374011907
BaseRepresentation
bin100001001100111100…
…011001100111010100
310102000112222011200200
4201030330121213110
51041003030442330
624213324540500
72401312304640
oct411474314724
9112015864620
1035650640340
1114134947827
126aab3b1730
133491c70273
141a22ab5c20
15dd9c52a60
hex84cf199d4

35650640340 has 288 divisors, whose sum is σ = 127312383744. Its totient is φ = 7904563200.

The previous prime is 35650640317. The next prime is 35650640341. The reversal of 35650640340 is 4304605653.

35650640340 is a `hidden beast` number, since 3 + 5 + 6 + 5 + 0 + 640 + 3 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 35650640295 and 35650640304.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35650640341) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 18693667 + ... + 18695573.

It is an arithmetic number, because the mean of its divisors is an integer number (442056888).

Almost surely, 235650640340 is an apocalyptic number.

35650640340 is a gapful number since it is divisible by the number (30) 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 35650640340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63656191872).

35650640340 is an abundant number, since it is smaller than the sum of its proper divisors (91661743404).

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

35650640340 is a wasteful number, since it uses less digits than its factorization.

35650640340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2367 (or 2362 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 35650640340 in words is "thirty-five billion, six hundred fifty million, six hundred forty thousand, three hundred forty".