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29304369864 = 23347111930911
BaseRepresentation
bin11011010010101011…
…010011001011001000
32210122021100020020000
4123102223103023020
5440003404313424
621243502203000
72055122014440
oct332253231310
983567306200
1029304369864
11114786098a0
125819b83460
1329c0225a33
1415bdccb120
15b67a1b3c9
hex6d2ad32c8

29304369864 has 320 divisors, whose sum is σ = 107722137600. Its totient is φ = 7210684800.

The previous prime is 29304369859. The next prime is 29304369869. The reversal of 29304369864 is 46896340392.

It is an interprime number because it is at equal distance from previous prime (29304369859) and next prime (29304369869).

It is a super-2 number, since 2×293043698642 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 29304369864.

It is not an unprimeable number, because it can be changed into a prime (29304369869) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 932569 + ... + 963479.

It is an arithmetic number, because the mean of its divisors is an integer number (336631680).

Almost surely, 229304369864 is an apocalyptic number.

29304369864 is a gapful number since it is divisible by the number (24) 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 29304369864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53861068800).

29304369864 is an abundant number, since it is smaller than the sum of its proper divisors (78417767736).

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

29304369864 is a wasteful number, since it uses less digits than its factorization.

29304369864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30966 (or 30953 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 29304369864 in words is "twenty-nine billion, three hundred four million, three hundred sixty-nine thousand, eight hundred sixty-four".