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29350531980 = 22335711264171
BaseRepresentation
bin11011010101011011…
…011001001110001100
32210202111012111202000
4123111123121032030
5440102214010410
621252231432300
72056222256040
oct332533311614
983674174660
1029350531980
11114a1679100
125831525690
1329c99692b3
1415c60a6020
15b6bad8dc0
hex6d56d938c

29350531980 has 288 divisors, whose sum is σ = 114708733440. Its totient is φ = 6098716800.

The previous prime is 29350531957. The next prime is 29350531997. The reversal of 29350531980 is 8913505392.

29350531980 is a `hidden beast` number, since 2 + 9 + 35 + 0 + 531 + 9 + 80 = 666.

It is a super-2 number, since 2×293505319802 (a number of 22 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 425295 + ... + 489465.

Almost surely, 229350531980 is an apocalyptic number.

29350531980 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 29350531980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57354366720).

29350531980 is an abundant number, since it is smaller than the sum of its proper divisors (85358201460).

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

29350531980 is a wasteful number, since it uses less digits than its factorization.

29350531980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64218 (or 64199 counting only the distinct ones).

The product of its (nonzero) digits is 291600, while the sum is 45.

The spelling of 29350531980 in words is "twenty-nine billion, three hundred fifty million, five hundred thirty-one thousand, nine hundred eighty".