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171429353472 = 21131317251503
BaseRepresentation
bin1001111110100111111…
…1000101100000000000
3121101111012120110110210
42133221333011200000
510302041403302342
6210430433554120
715246115314306
oct2375177054000
9541435513423
10171429353472
1166780445633
1229283415940
1313220112480
14842382a276
1546d508c79c
hex27e9fc5800

171429353472 has 384 divisors, whose sum is σ = 524258542080. Its totient is φ = 49348608000.

The previous prime is 171429353443. The next prime is 171429353497. The reversal of 171429353472 is 274353924171.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 340813573 + ... + 340814075.

It is an arithmetic number, because the mean of its divisors is an integer number (1365256620).

Almost surely, 2171429353472 is an apocalyptic number.

171429353472 is a gapful number since it is divisible by the number (12) 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 171429353472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262129271040).

171429353472 is an abundant number, since it is smaller than the sum of its proper divisors (352829188608).

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

171429353472 is a wasteful number, since it uses less digits than its factorization.

171429353472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 809 (or 789 counting only the distinct ones).

The product of its digits is 1270080, while the sum is 48.

The spelling of 171429353472 in words is "one hundred seventy-one billion, four hundred twenty-nine million, three hundred fifty-three thousand, four hundred seventy-two".