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169348211136 = 26341319132257
BaseRepresentation
bin1001110110110111110…
…0001010000111000000
3121012010011112110220000
42131231330022013000
510233311120224021
6205444131520000
715143415021036
oct2355574120700
9535104473800
10169348211136
1165902717595
12289a2459000
1312c7abc7ac0
1482a728c556
1546124ecb26
hex276df0a1c0

169348211136 has 280 divisors, whose sum is σ = 569074432080. Its totient is φ = 49364287488.

The previous prime is 169348211101. The next prime is 169348211161. The reversal of 169348211136 is 631112843961.

169348211136 is a `hidden beast` number, since 1 + 69 + 348 + 211 + 1 + 36 = 666.

It is a super-2 number, since 2×1693482111362 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 169348211091 and 169348211100.

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, 1214320 + ... + 1346576.

It is an arithmetic number, because the mean of its divisors is an integer number (2032408686).

Almost surely, 2169348211136 is an apocalyptic number.

169348211136 is a gapful number since it is divisible by the number (16) 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 169348211136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284537216040).

169348211136 is an abundant number, since it is smaller than the sum of its proper divisors (399726220944).

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

169348211136 is a wasteful number, since it uses less digits than its factorization.

169348211136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132313 (or 132294 counting only the distinct ones).

The product of its digits is 186624, while the sum is 45.

The spelling of 169348211136 in words is "one hundred sixty-nine billion, three hundred forty-eight million, two hundred eleven thousand, one hundred thirty-six".