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36266161140 = 223251122396967
BaseRepresentation
bin100001110001101000…
…011011001111110100
310110121110011212111100
4201301220123033310
51043233114124030
624354353410100
72422465166136
oct416150331764
9113543155440
1036266161140
1114420336700
127041569930
13355c641561
141a8073d056
15e23cd9360
hex871a1b3f4

36266161140 has 216 divisors, whose sum is σ = 121440533760. Its totient is φ = 8753754240.

The previous prime is 36266161133. The next prime is 36266161147. The reversal of 36266161140 is 4116166263.

It is a happy number.

36266161140 is a `hidden beast` number, since 3 + 6 + 26 + 616 + 1 + 14 + 0 = 666.

36266161140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (36266161133) and next prime (36266161147).

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 = 36266161095 and 36266161104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36266161147) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5201937 + ... + 5208903.

Almost surely, 236266161140 is an apocalyptic number.

36266161140 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 36266161140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60720266880).

36266161140 is an abundant number, since it is smaller than the sum of its proper divisors (85174372620).

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

36266161140 is a wasteful number, since it uses less digits than its factorization.

36266161140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7243 (or 7227 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

It can be divided in two parts, 362661 and 61140, that added together give a square (423801 = 6512).

The spelling of 36266161140 in words is "thirty-six billion, two hundred sixty-six million, one hundred sixty-one thousand, one hundred forty".