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36680218848 = 2534713155509
BaseRepresentation
bin100010001010010011…
…111011100011100000
310111200022022011220000
4202022103323203200
51100110114000343
624503424220000
72435653500360
oct421223734340
9114608264800
1036680218848
1114613033359
12713816a600
1335c7365610
141abd7229a0
15e4a327ed3
hex88a4fb8e0

36680218848 has 240 divisors, whose sum is σ = 132770705760. Its totient is φ = 9673841664.

The previous prime is 36680218837. The next prime is 36680218873. The reversal of 36680218848 is 84881208663.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 36680218794 and 36680218803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 158118 + ... + 313626.

It is an arithmetic number, because the mean of its divisors is an integer number (553211274).

Almost surely, 236680218848 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 36680218848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66385352880).

36680218848 is an abundant number, since it is smaller than the sum of its proper divisors (96090486912).

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

36680218848 is a wasteful number, since it uses less digits than its factorization.

36680218848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155551 (or 155534 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 36680218848 in words is "thirty-six billion, six hundred eighty million, two hundred eighteen thousand, eight hundred forty-eight".