Search a number
-
+
129448569470976 = 2273972
BaseRepresentation
bin11101011011101110011000…
…000000000000000000000000
3121222100011101101012000000000
4131123232120000000000000
5113431341132241032401
61135151504000000000
736160231140432600
oct3533563000000000
9558304341160000
10129448569470976
1138278914827098
1212628000000000
13572cc421ba222
1423d74b666ac00
15ee73c36ea186
hex75bb98000000

129448569470976 has 840 divisors, whose sum is σ = 451741437284940. Its totient is φ = 36985305563136.

The previous prime is 129448569470971. The next prime is 129448569470989. The reversal of 129448569470976 is 679074965844921.

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.

129448569470976 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 4 + 8 + 56 + 9 + 470 + 97 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a junction number, because it is equal to n+sod(n) for n = 129448569470895 and 129448569470904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129448569470971) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 18492652781565 + ... + 18492652781571.

Almost surely, 2129448569470976 is an apocalyptic number.

129448569470976 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 129448569470976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225870718642470).

129448569470976 is an abundant number, since it is smaller than the sum of its proper divisors (322292867813964).

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

129448569470976 is an frugal number, since it uses more digits than its factorization.

129448569470976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 12 counting only the distinct ones).

The product of its (nonzero) digits is 6584094720, while the sum is 81.

The spelling of 129448569470976 in words is "one hundred twenty-nine trillion, four hundred forty-eight billion, five hundred sixty-nine million, four hundred seventy thousand, nine hundred seventy-six".