Search a number
-
+
129570785568 = 2534723310489
BaseRepresentation
bin111100010101100000…
…1010100100100100000
3110101110000021220010000
41320223001110210200
54110330110114233
6135305103340000
712234612335220
oct1705301244440
9411400256100
10129570785568
114aa5036aa64
1221140bb1600
13c2abca49b3
1463b249c080
15358532dd13
hex1e2b054920

129570785568 has 240 divisors, whose sum is σ = 454438131840. Its totient is φ = 35410535424.

The previous prime is 129570785563. The next prime is 129570785573. The reversal of 129570785568 is 865587075921.

129570785568 is a `hidden beast` number, since 1 + 2 + 9 + 5 + 7 + 0 + 78 + 556 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (129570785563) and next prime (129570785573).

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

It is not an unprimeable number, because it can be changed into a prime (129570785563) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 262068 + ... + 572556.

It is an arithmetic number, because the mean of its divisors is an integer number (1893492216).

Almost surely, 2129570785568 is an apocalyptic number.

129570785568 is a gapful number since it is divisible by the number (18) 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 129570785568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227219065920).

129570785568 is an abundant number, since it is smaller than the sum of its proper divisors (324867346272).

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

129570785568 is a wasteful number, since it uses less digits than its factorization.

129570785568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 310541 (or 310524 counting only the distinct ones).

The product of its (nonzero) digits is 42336000, while the sum is 63.

The spelling of 129570785568 in words is "one hundred twenty-nine billion, five hundred seventy million, seven hundred eighty-five thousand, five hundred sixty-eight".