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129768376320 = 211355112431
BaseRepresentation
bin111100011011011001…
…1000100100000000000
3110101221210002112200000
41320312303010200000
54111231201020240
6135340442400000
712242531666442
oct1706663044000
9411853075600
10129768376320
1150041957900
1221197200000
13c310bc74bb
1463d0814492
15359785e430
hex1e36cc4800

129768376320 has 864 divisors, whose sum is σ = 513856586880. Its totient is φ = 31386009600.

The previous prime is 129768376319. The next prime is 129768376321. The reversal of 129768376320 is 23673867921.

It is an interprime number because it is at equal distance from previous prime (129768376319) and next prime (129768376321).

It is a tau number, because it is divible by the number of its divisors (864).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129768376321) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 301086505 + ... + 301086935.

It is an arithmetic number, because the mean of its divisors is an integer number (594741420).

Almost surely, 2129768376320 is an apocalyptic number.

129768376320 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 129768376320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256928293440).

129768376320 is an abundant number, since it is smaller than the sum of its proper divisors (384088210560).

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

129768376320 is an equidigital number, since it uses as much as digits as its factorization.

129768376320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 4572288, while the sum is 54.

The spelling of 129768376320 in words is "one hundred twenty-nine billion, seven hundred sixty-eight million, three hundred seventy-six thousand, three hundred twenty".