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23465106430320 = 2435601162680993
BaseRepresentation
bin1010101010111011001010…
…10101010101100101110000
310002002020112121112111100210
411111131211111111211300
511033423014221232240
6121523415430344120
74641204132505452
oct525354525254560
9102066477474323
1023465106430320
11752754a933915
12276b8407bb040
131012999ac3349
145b1a080542d2
152aa5abba2780
hex155765555970

23465106430320 has 80 divisors (see below), whose sum is σ = 72862865040672. Its totient is φ = 6246950092800.

The previous prime is 23465106430319. The next prime is 23465106430321. The reversal of 23465106430320 is 2303460156432.

It is an interprime number because it is at equal distance from previous prime (23465106430319) and next prime (23465106430321).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×234651064303202 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23465106430321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 81196257 + ... + 81484736.

Almost surely, 223465106430320 is an apocalyptic number.

23465106430320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23465106430320 is an abundant number, since it is smaller than the sum of its proper divisors (49397758610352).

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

23465106430320 is a wasteful number, since it uses less digits than its factorization.

23465106430320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162681610 (or 162681604 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 39.

Adding to 23465106430320 its reverse (2303460156432), we get a palindrome (25768566586752).

The spelling of 23465106430320 in words is "twenty-three trillion, four hundred sixty-five billion, one hundred six million, four hundred thirty thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 601 1202 1803 2404 3005 3606 4808 6010 7212 9015 9616 12020 14424 18030 24040 28848 36060 48080 72120 144240 162680993 325361986 488042979 650723972 813404965 976085958 1301447944 1626809930 1952171916 2440214895 2602895888 3253619860 3904343832 4880429790 6507239720 7808687664 9760859580 13014479440 19521719160 39043438320 97771276793 195542553586 293313830379 391085107172 488856383965 586627660758 782170214344 977712767930 1173255321516 1466569151895 1564340428688 1955425535860 2346510643032 2933138303790 3910851071720 4693021286064 5866276607580 7821702143440 11732553215160 23465106430320