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129992048640 = 21433558771
BaseRepresentation
bin111100100010000100…
…0010100000000000000
3110102112100222021102000
41321010020110000000
54112210431024030
6135414552424000
712251216116356
oct1710410240000
9412470867360
10129992048640
1150147139163
122123a0a8000
13c34834c59c
1464123d97d6
1535ac2e2860
hex1e44214000

129992048640 has 240 divisors, whose sum is σ = 462187709760. Its totient is φ = 34663956480.

The previous prime is 129992048609. The next prime is 129992048671. The reversal of 129992048640 is 46840299921.

129992048640 is a `hidden beast` number, since 12 + 9 + 99 + 20 + 486 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (129992048609) and next prime (129992048671).

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2182455 + ... + 2241225.

It is an arithmetic number, because the mean of its divisors is an integer number (1925782124).

Almost surely, 2129992048640 is an apocalyptic number.

129992048640 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 129992048640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231093854880).

129992048640 is an abundant number, since it is smaller than the sum of its proper divisors (332195661120).

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

129992048640 is an frugal number, since it uses more digits than its factorization.

129992048640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58813 (or 58781 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 129992048640 in words is "one hundred twenty-nine billion, nine hundred ninety-two million, forty-eight thousand, six hundred forty".