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235745411072 = 21553135743
BaseRepresentation
bin1101101110001110000…
…1011000000000000000
3211112111111120201012012
43123203201120000000
512330301311123242
6300144442152052
723013663634313
oct3334341300000
9745444521165
10235745411072
1190a85158646
12398327b2628
13192ccac19a2
14b5a55c697a
1561eb697282
hex36e3858000

235745411072 has 64 divisors (see below), whose sum is σ = 480383084160. Its totient is φ = 115647840256.

The previous prime is 235745411071. The next prime is 235745411137. The reversal of 235745411072 is 270114547532.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235745411071) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 1668833 + ... + 1804575.

It is an arithmetic number, because the mean of its divisors is an integer number (7505985690).

Almost surely, 2235745411072 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 235745411072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240191542080).

235745411072 is an abundant number, since it is smaller than the sum of its proper divisors (244637673088).

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

235745411072 is an frugal number, since it uses more digits than its factorization.

235745411072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135826 (or 135798 counting only the distinct ones).

The product of its (nonzero) digits is 235200, while the sum is 41.

The spelling of 235745411072 in words is "two hundred thirty-five billion, seven hundred forty-five million, four hundred eleven thousand, seventy-two".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 424 512 848 1024 1696 2048 3392 4096 6784 8192 13568 16384 27136 32768 54272 108544 135743 217088 271486 434176 542972 868352 1085944 1736704 2171888 4343776 7194379 8687552 14388758 17375104 28777516 34750208 57555032 69500416 115110064 139000832 230220128 278001664 460440256 556003328 920880512 1112006656 1841761024 2224013312 3683522048 4448026624 7367044096 14734088192 29468176384 58936352768 117872705536 235745411072