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129770747568 = 243371123712389
BaseRepresentation
bin111100011011011110…
…0000111011010110000
3110101221221120000102000
41320312330013122300
54111232302410233
6135341005254000
712242561103630
oct1706674073260
9411857500360
10129770747568
1150043227410
1221197b64300
13c3115478c7
1463d0c706c0
153597b7bd13
hex1e36f076b0

129770747568 has 640 divisors, whose sum is σ = 491625676800. Its totient is φ = 31773772800.

The previous prime is 129770747501. The next prime is 129770747569. The reversal of 129770747568 is 865747077921.

129770747568 is a `hidden beast` number, since 1 + 2 + 97 + 70 + 7 + 475 + 6 + 8 = 666.

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 (129770747569) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 54318918 + ... + 54321306.

It is an arithmetic number, because the mean of its divisors is an integer number (768165120).

Almost surely, 2129770747568 is an apocalyptic number.

129770747568 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 129770747568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245812838400).

129770747568 is an abundant number, since it is smaller than the sum of its proper divisors (361854929232).

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

129770747568 is a wasteful number, since it uses less digits than its factorization.

129770747568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2518 (or 2506 counting only the distinct ones).

The product of its (nonzero) digits is 41489280, while the sum is 63.

The spelling of 129770747568 in words is "one hundred twenty-nine billion, seven hundred seventy million, seven hundred forty-seven thousand, five hundred sixty-eight".