Search a number
-
+
129791587680 = 253554181421
BaseRepresentation
bin111100011100000101…
…1100111010101100000
3110102000101202210200000
41320320023213111200
54111303121301210
6135343032100000
712243233202156
oct1707013472540
9412011683600
10129791587680
1150053a70947
12211a2b34600
13c315963531
1463d39373d6
1535998e6ac0
hex1e382e7560

129791587680 has 288 divisors, whose sum is σ = 470526664608. Its totient is φ = 33766502400.

The previous prime is 129791587657. The next prime is 129791587691. The reversal of 129791587680 is 86785197921.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1553370 + ... + 1634790.

It is an arithmetic number, because the mean of its divisors is an integer number (1633773141).

Almost surely, 2129791587680 is an apocalyptic number.

129791587680 is a gapful number since it is divisible by the number (10) 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 129791587680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235263332304).

129791587680 is an abundant number, since it is smaller than the sum of its proper divisors (340735076928).

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

129791587680 is an equidigital number, since it uses as much as digits as its factorization.

129791587680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81492 (or 81472 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 129791587680 in words is "one hundred twenty-nine billion, seven hundred ninety-one million, five hundred eighty-seven thousand, six hundred eighty".