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29345922848 = 2511227532
BaseRepresentation
bin11011010101001001…
…110011111100100000
32210202011112100012102
4123111021303330200
5440100024012343
621251544545532
72056135141244
oct332511637440
983664470172
1029345922848
111149a010200
12582ba822a8
1329c8a143b8
1415c5626424
15b6b4c83b8
hex6d5273f20

29345922848 has 54 divisors (see below), whose sum is σ = 63527592177. Its totient is φ = 13334210560.

The previous prime is 29345922799. The next prime is 29345922871. The reversal of 29345922848 is 84822954392.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 22156917904 + 7189004944 = 148852^2 + 84788^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=121132.

It is a super-2 number, since 2×293459228482 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 29345922793 and 29345922802.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10658240 + ... + 10660992.

Almost surely, 229345922848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29345922848

29345922848 is an abundant number, since it is smaller than the sum of its proper divisors (34181669329).

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

29345922848 is an frugal number, since it uses more digits than its factorization.

29345922848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5538 (or 2766 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 56.

The spelling of 29345922848 in words is "twenty-nine billion, three hundred forty-five million, nine hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 2753 3872 5506 11012 22024 30283 44048 60566 88096 121132 242264 333113 484528 666226 969056 1332452 2664904 5329808 7579009 10659616 15158018 30316036 60632072 83369099 121264144 166738198 242528288 333476396 666952792 917060089 1333905584 1834120178 2667811168 3668240356 7336480712 14672961424 29345922848