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23466841248 = 25359270223
BaseRepresentation
bin10101110110101110…
…111001010010100000
32020120110000001101110
4111312232321102200
5341030002404443
614440331503320
71460346600534
oct256656712240
966513001343
1023466841248
119a52469184
12466abb7b40
13229ca045a6
1411c88d1bc4
159252c8233
hex576bb94a0

23466841248 has 72 divisors (see below), whose sum is σ = 62663122368. Its totient is φ = 7689589888.

The previous prime is 23466841247. The next prime is 23466841289. The reversal of 23466841248 is 84214866432.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 23466841197 and 23466841206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23466841247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 299065 + ... + 369287.

It is an arithmetic number, because the mean of its divisors is an integer number (870321144).

Almost surely, 223466841248 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 23466841248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31331561184).

23466841248 is an abundant number, since it is smaller than the sum of its proper divisors (39196281120).

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

23466841248 is an equidigital number, since it uses as much as digits as its factorization.

23466841248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70354 (or 70287 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 48.

The spelling of 23466841248 in words is "twenty-three billion, four hundred sixty-six million, eight hundred forty-one thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 96 118 177 236 354 472 708 944 1416 1888 2832 3481 5664 6962 10443 13924 20886 27848 41772 55696 70223 83544 111392 140446 167088 210669 280892 334176 421338 561784 842676 1123568 1685352 2247136 3370704 4143157 6741408 8286314 12429471 16572628 24858942 33145256 49717884 66290512 99435768 132581024 198871536 244446263 397743072 488892526 733338789 977785052 1466677578 1955570104 2933355156 3911140208 5866710312 7822280416 11733420624 23466841248