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36423926130816 = 27327173771101141
BaseRepresentation
bin10000100100000100110110…
…01011011010100010000000
311202222002112001001001121100
420102002123023122202000
514233232200042141231
6205244530510254400
710446353562512010
oct1022023313324200
9152862461031540
1036423926130816
1110673333805034
12410324b1b7400
1317429b9011a23
148dccdac29c40
1543270ae091e6
hex21209b2da880

36423926130816 has 768 divisors, whose sum is σ = 132097213048320. Its totient is φ = 9395630899200.

The previous prime is 36423926130769. The next prime is 36423926130827. The reversal of 36423926130816 is 61803162932463.

36423926130816 is a `hidden beast` number, since 3 + 6 + 4 + 2 + 3 + 9 + 2 + 613 + 0 + 8 + 16 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 360079606 + ... + 360180746.

It is an arithmetic number, because the mean of its divisors is an integer number (172001579490).

Almost surely, 236423926130816 is an apocalyptic number.

36423926130816 is a gapful number since it is divisible by the number (36) 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 36423926130816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66048606524160).

36423926130816 is an abundant number, since it is smaller than the sum of its proper divisors (95673286917504).

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

36423926130816 is a wasteful number, since it uses less digits than its factorization.

36423926130816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101293 (or 101278 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 36423926130816 in words is "thirty-six trillion, four hundred twenty-three billion, nine hundred twenty-six million, one hundred thirty thousand, eight hundred sixteen".