Search a number
-
+
29764717320 = 23351353599601
BaseRepresentation
bin11011101110000111…
…011000101100001000
32211211100120022012210
4123232013120230020
5441424231423240
621401305105120
72102411631342
oct335607305410
984740508183
1029764717320
1111694452738
1259281881a0
132a64706490
1416250c0292
15b93150780
hex6ee1d8b08

29764717320 has 256 divisors, whose sum is σ = 98304192000. Its totient is φ = 7164518400.

The previous prime is 29764717313. The next prime is 29764717343. The reversal of 29764717320 is 2371746792.

It is a self number, because there is not a number n which added to its sum of digits gives 29764717320.

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 63 ways as a sum of consecutive naturals, for example, 49525020 + ... + 49525620.

It is an arithmetic number, because the mean of its divisors is an integer number (384000750).

Almost surely, 229764717320 is an apocalyptic number.

29764717320 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 29764717320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49152096000).

29764717320 is an abundant number, since it is smaller than the sum of its proper divisors (68539474680).

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

29764717320 is a wasteful number, since it uses less digits than its factorization.

29764717320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280 (or 1276 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 48.

The spelling of 29764717320 in words is "twenty-nine billion, seven hundred sixty-four million, seven hundred seventeen thousand, three hundred twenty".