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29700465920 = 28548172
BaseRepresentation
bin11011101010010010…
…010010010100000000
32211122212122222212022
4123222102102110000
5441311304402140
621351052021012
72101001536436
oct335222222400
984585588768
1029700465920
1111661158704
12590a761768
132a542cb3b8
14161a756d56
15b8c6ad0b5
hex6ea492500

29700465920 has 54 divisors (see below), whose sum is σ = 71156669262. Its totient is φ = 11877720064.

The previous prime is 29700465911. The next prime is 29700465953. The reversal of 29700465920 is 2956400792.

It can be written as a sum of positive squares in 3 ways, for example, as 724255744 + 28976210176 = 26912^2 + 170224^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6163352 + ... + 6168168.

Almost surely, 229700465920 is an apocalyptic number.

29700465920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

29700465920 is an abundant number, since it is smaller than the sum of its proper divisors (41456203342).

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

29700465920 is an frugal number, since it uses more digits than its factorization.

29700465920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9655 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 44.

The spelling of 29700465920 in words is "twenty-nine billion, seven hundred million, four hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 4817 9634 19268 24085 38536 48170 77072 96340 154144 192680 308288 385360 616576 770720 1233152 1541440 3082880 6165760 23203489 46406978 92813956 116017445 185627912 232034890 371255824 464069780 742511648 928139560 1485023296 1856279120 2970046592 3712558240 5940093184 7425116480 14850232960 29700465920