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169314270048 = 253271121740829
BaseRepresentation
bin1001110110101111101…
…0101011101101100000
3121012000210200002110200
42131223322223231200
510233223423120143
6205440520225200
715142523356320
oct2355372535540
9535023602420
10169314270048
1165895545100
122899300b200
1312c73b73011
1482a2975280
15460e5461d3
hex276beabb60

169314270048 has 432 divisors, whose sum is σ = 640438475040. Its totient is φ = 41389793280.

The previous prime is 169314270029. The next prime is 169314270053. The reversal of 169314270048 is 840072413961.

169314270048 is a `hidden beast` number, since 1 + 69 + 314 + 270 + 0 + 4 + 8 = 666.

It is a super-3 number, since 3×1693142700483 (a number of 35 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 169314269985 and 169314270012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4126498 + ... + 4167326.

It is an arithmetic number, because the mean of its divisors is an integer number (1482496470).

Almost surely, 2169314270048 is an apocalyptic number.

169314270048 is a gapful number since it is divisible by the number (18) 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 169314270048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320219237520).

169314270048 is an abundant number, since it is smaller than the sum of its proper divisors (471124204992).

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

169314270048 is a wasteful number, since it uses less digits than its factorization.

169314270048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40891 (or 40869 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 169314270048 in words is "one hundred sixty-nine billion, three hundred fourteen million, two hundred seventy thousand, forty-eight".