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429420067692 = 22371119314091709
BaseRepresentation
bin1100011111110110110…
…11100011101101101100
31112001102000121122210120
412033323123203231230
524013423014131232
6525134534204540
743011300231060
oct6177333435554
91461360548716
10429420067692
11156130484730
126b283ab3750
1331656812a15
1416ad95a9aa0
15b28466a92c
hex63fb6e3b6c

429420067692 has 192 divisors, whose sum is σ = 1257321139200. Its totient is φ = 110816133120.

The previous prime is 429420067663. The next prime is 429420067693. The reversal of 429420067692 is 296760024924.

It is not an unprimeable number, because it can be changed into a prime (429420067693) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 251268934 + ... + 251270642.

It is an arithmetic number, because the mean of its divisors is an integer number (6548547600).

Almost surely, 2429420067692 is an apocalyptic number.

429420067692 is a gapful number since it is divisible by the number (42) 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 429420067692, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (628660569600).

429420067692 is an abundant number, since it is smaller than the sum of its proper divisors (827901071508).

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

429420067692 is a wasteful number, since it uses less digits than its factorization.

429420067692 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336 (or 3334 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 51.

The spelling of 429420067692 in words is "four hundred twenty-nine billion, four hundred twenty million, sixty-seven thousand, six hundred ninety-two".