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29121212016 = 2434132314289
BaseRepresentation
bin11011000111110000…
…100110111001110000
32210011111200211220000
4123013300212321300
5434120012241031
621213400350000
72050436134521
oct330760467160
983144624800
1029121212016
111139418a676
125788775300
1329912b7700
1415a3850848
15b568dc3e6
hex6c7c26e70

29121212016 has 300 divisors, whose sum is σ = 94233522240. Its totient is φ = 8669306880.

The previous prime is 29121211991. The next prime is 29121212017. The reversal of 29121212016 is 61021212192.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29121212017) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 6787600 + ... + 6791888.

Almost surely, 229121212016 is an apocalyptic number.

29121212016 is a gapful number since it is divisible by the number (26) 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 29121212016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47116761120).

29121212016 is an abundant number, since it is smaller than the sum of its proper divisors (65112310224).

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

29121212016 is a wasteful number, since it uses less digits than its factorization.

29121212016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4366 (or 4338 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 29121212016 in words is "twenty-nine billion, one hundred twenty-one million, two hundred twelve thousand, sixteen".