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29031430820 = 2257319122157
BaseRepresentation
bin11011000010011010…
…000111101010100100
32202221020202111020112
4123002122013222210
5433424021241240
621200432152152
72045266043000
oct330232075244
982836674215
1029031430820
1111348538737
125762698658
132978811242
14159595d700
15b4daa5665
hex6c2687aa4

29031430820 has 96 divisors (see below), whose sum is σ = 71472844800. Its totient is φ = 9901073280.

The previous prime is 29031430811. The next prime is 29031430843. The reversal of 29031430820 is 2803413092.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1299182 + ... + 1321338.

It is an arithmetic number, because the mean of its divisors is an integer number (744508800).

Almost surely, 229031430820 is an apocalyptic number.

29031430820 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 29031430820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35736422400).

29031430820 is an abundant number, since it is smaller than the sum of its proper divisors (42441413980).

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

29031430820 is a wasteful number, since it uses less digits than its factorization.

29031430820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22378 (or 22362 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 29031430820 in words is "twenty-nine billion, thirty-one million, four hundred thirty thousand, eight hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 191 196 245 343 382 490 686 764 955 980 1337 1372 1715 1910 2674 3430 3820 5348 6685 6860 9359 13370 18718 22157 26740 37436 44314 46795 65513 88628 93590 110785 131026 155099 187180 221570 262052 310198 327565 443140 620396 655130 775495 1085693 1310260 1550990 2171386 3101980 4231987 4342772 5428465 7599851 8463974 10856930 15199702 16927948 21159935 21713860 29623909 30399404 37999255 42319870 59247818 75998510 84639740 118495636 148119545 151997020 207367363 296239090 414734726 592478180 829469452 1036836815 1451571541 2073673630 2903143082 4147347260 5806286164 7257857705 14515715410 29031430820