Search a number
-
+
169901247430656 = 22331073
BaseRepresentation
bin100110101000011000110111…
…100000000000000000000000
3211021120101211001120000000000
4212220120313200000000000
5134232130223320240111
61401203320000000000
750533650203622000
oct4650306740000000
9737511731500000
10169901247430656
114a154794949325
1217080000000000
1373a5807900461
142dd539b172000
1514997c4834c56
hex9a8637800000

169901247430656 has 1056 divisors, whose sum is σ = 594403305678000. Its totient is φ = 48543213551616.

The previous prime is 169901247430589. The next prime is 169901247430727. The reversal of 169901247430656 is 656034742109961.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

169901247430656 is a `hidden beast` number, since 1 + 6 + 9 + 90 + 12 + 47 + 430 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 169901247430593 and 169901247430602.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 43 ways as a sum of consecutive naturals, for example, 24271606775805 + ... + 24271606775811.

Almost surely, 2169901247430656 is an apocalyptic number.

169901247430656 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 169901247430656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297201652839000).

169901247430656 is an abundant number, since it is smaller than the sum of its proper divisors (424502058247344).

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

169901247430656 is an frugal number, since it uses more digits than its factorization.

169901247430656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 58786560, while the sum is 63.

The spelling of 169901247430656 in words is "one hundred sixty-nine trillion, nine hundred one billion, two hundred forty-seven million, four hundred thirty thousand, six hundred fifty-six".