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29621975040 = 2113257173773
BaseRepresentation
bin11011100101100110…
…110111100000000000
32211110101222020121200
4123211212313200000
5441131211200130
621335205421200
72066026430160
oct334546674000
984411866550
1029621975040
1111620918309
1258a840a800
132a40c78ba8
1416101645a0
15b85856760
hex6e59b7800

29621975040 has 1152 divisors, whose sum is σ = 129338052480. Its totient is φ = 6115295232.

The previous prime is 29621975039. The next prime is 29621975041. The reversal of 29621975040 is 4057912692.

It is an interprime number because it is at equal distance from previous prime (29621975039) and next prime (29621975041).

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×296219750402 (a number of 22 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29621975041) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 405780444 + ... + 405780516.

It is an arithmetic number, because the mean of its divisors is an integer number (112272615).

Almost surely, 229621975040 is an apocalyptic number.

29621975040 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 29621975040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (64669026240).

29621975040 is an abundant number, since it is smaller than the sum of its proper divisors (99716077440).

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

29621975040 is a wasteful number, since it uses less digits than its factorization.

29621975040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 29621975040 in words is "twenty-nine billion, six hundred twenty-one million, nine hundred seventy-five thousand, forty".