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29112367824 = 2432375464033
BaseRepresentation
bin11011000111001110…
…110111101011010000
32210010220001111221100
4123013032313223100
5434110231232244
621212443024400
72050301020641
oct330716675320
983126044840
1029112367824
111138a199921
12578580b100
13298c50bc67
1415a25cb6c8
15b55c41b69
hex6c73b7ad0

29112367824 has 60 divisors (see below), whose sum is σ = 83676216676. Its totient is φ = 9441847296.

The previous prime is 29112367819. The next prime is 29112367883. The reversal of 29112367824 is 42876321192.

It can be written as a sum of positive squares in 2 ways, for example, as 10430945424 + 18681422400 = 102132^2 + 136680^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 29112367824.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2726689 + ... + 2737344.

Almost surely, 229112367824 is an apocalyptic number.

29112367824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

29112367824 is an abundant number, since it is smaller than the sum of its proper divisors (54563848852).

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

29112367824 is a wasteful number, since it uses less digits than its factorization.

29112367824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464084 (or 5464075 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 29112367824 in words is "twenty-nine billion, one hundred twelve million, three hundred sixty-seven thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 2664 5328 5464033 10928066 16392099 21856132 32784198 43712264 49176297 65568396 87424528 98352594 131136792 196705188 202169221 262273584 393410376 404338442 606507663 786820752 808676884 1213015326 1617353768 1819522989 2426030652 3234707536 3639045978 4852061304 7278091956 9704122608 14556183912 29112367824