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23462334464 = 21229197521
BaseRepresentation
bin10101110110011101…
…101101000000000000
32020120010112002020112
4111312131231000000
5341022324200324
614440051130452
71460263360322
oct256635550000
966503462215
1023462334464
119a4a970168
1246695a3a28
13229bab715a
1411c807b612
15924bd7c0e
hex57676d000

23462334464 has 52 divisors (see below), whose sum is σ = 48537081060. Its totient is φ = 11326586880.

The previous prime is 23462334463. The next prime is 23462334479. The reversal of 23462334464 is 46443326432.

It can be written as a sum of positive squares in 2 ways, for example, as 7029145600 + 16433188864 = 83840^2 + 128192^2 .

It is a super-2 number, since 2×234623344642 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23462334463) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20024 + ... + 217544.

It is an arithmetic number, because the mean of its divisors is an integer number (933405405).

Almost surely, 223462334464 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 23462334464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24268540530).

23462334464 is an abundant number, since it is smaller than the sum of its proper divisors (25074746596).

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

23462334464 is an equidigital number, since it uses as much as digits as its factorization.

23462334464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197574 (or 197552 counting only the distinct ones).

The product of its digits is 995328, while the sum is 41.

The spelling of 23462334464 in words is "twenty-three billion, four hundred sixty-two million, three hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 256 464 512 928 1024 1856 2048 3712 4096 7424 14848 29696 59392 118784 197521 395042 790084 1580168 3160336 5728109 6320672 11456218 12641344 22912436 25282688 45824872 50565376 91649744 101130752 183299488 202261504 366598976 404523008 733197952 809046016 1466395904 2932791808 5865583616 11731167232 23462334464