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171412498752 = 2631181161221
BaseRepresentation
bin1001111110100011111…
…0110010100101000000
3121101110000212011010220
42133220332302211000
510302023044430002
6210425032423040
715245522125215
oct2375076624500
9541400764126
10171412498752
1166771983410
1229279847a80
1313219790871
1484214bdb0c
1546d385d7bc
hex27e8fb2940

171412498752 has 56 divisors (see below), whose sum is σ = 494758809312. Its totient is φ = 51943180800.

The previous prime is 171412498723. The next prime is 171412498757. The reversal of 171412498752 is 257894214171.

171412498752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 171412498695 and 171412498704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (171412498757) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40578499 + ... + 40582722.

Almost surely, 2171412498752 is an apocalyptic number.

171412498752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

171412498752 is an abundant number, since it is smaller than the sum of its proper divisors (323346310560).

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

171412498752 is a wasteful number, since it uses less digits than its factorization.

171412498752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81161247 (or 81161237 counting only the distinct ones).

The product of its digits is 1128960, while the sum is 51.

The spelling of 171412498752 in words is "one hundred seventy-one billion, four hundred twelve million, four hundred ninety-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 528 704 1056 2112 81161221 162322442 243483663 324644884 486967326 649289768 892773431 973934652 1298579536 1785546862 1947869304 2597159072 2678320293 3571093724 3895738608 5194318144 5356640586 7142187448 7791477216 10713281172 14284374896 15582954432 21426562344 28568749792 42853124688 57137499584 85706249376 171412498752