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29946994704 = 2434112192232
BaseRepresentation
bin11011111000111110…
…101110000000010000
32212022001112221210000
4123320332232000100
5442312412312304
621431340010000
72110054153314
oct337076560020
985261487700
1029946994704
1111778330400
125979230900
132a933c6b13
1416413abb44
15ba4158939
hex6f8fae010

29946994704 has 675 divisors, whose sum is σ = 105111155919. Its totient is φ = 8223431040.

The previous prime is 29946994613. The next prime is 29946994729. The reversal of 29946994704 is 40749964992.

The square root of 29946994704 is 173052.

It is a perfect power (a square), and thus also a powerful number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1302043237 + ... + 1302043259.

Almost surely, 229946994704 is an apocalyptic number.

29946994704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

29946994704 is the 173052-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29946994704

29946994704 is an abundant number, since it is smaller than the sum of its proper divisors (75164161215).

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

29946994704 is a wasteful number, since it uses less digits than its factorization.

29946994704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 35271936, while the sum is 63.

The spelling of 29946994704 in words is "twenty-nine billion, nine hundred forty-six million, nine hundred ninety-four thousand, seven hundred four".