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29618121120 = 25357193712539
BaseRepresentation
bin11011100101011000…
…001010100110100000
32211110010201110000220
4123211120022212200
5441124214333440
621334551043040
72065651606230
oct334530124640
984403643026
1029618121120
1111619725855
1258a7070480
132a40229973
14160d83dcc0
15b853448d0
hex6e560a9a0

29618121120 has 384 divisors, whose sum is σ = 115279718400. Its totient is φ = 6239711232.

The previous prime is 29618121119. The next prime is 29618121133. The reversal of 29618121120 is 2112181692.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2355811 + ... + 2368349.

It is an arithmetic number, because the mean of its divisors is an integer number (300207600).

Almost surely, 229618121120 is an apocalyptic number.

29618121120 is a gapful number since it is divisible by the number (20) 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 29618121120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57639859200).

29618121120 is an abundant number, since it is smaller than the sum of its proper divisors (85661597280).

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

29618121120 is a wasteful number, since it uses less digits than its factorization.

29618121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12620 (or 12612 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 29618121120 in words is "twenty-nine billion, six hundred eighteen million, one hundred twenty-one thousand, one hundred twenty".