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23248248048 = 243476923327
BaseRepresentation
bin10101101001101101…
…000001110011110000
32020000012200100220000
4111221231001303300
5340103022414143
614402522350000
71452053563554
oct255155016360
966005610800
1023248248048
119950036943
12460995b300
13226663a2bc
1411a786d864
15910ee9bd3
hex569b41cf0

23248248048 has 100 divisors (see below), whose sum is σ = 67377562560. Its totient is φ = 7739006976.

The previous prime is 23248248047. The next prime is 23248248053. The reversal of 23248248048 is 84084284232.

It is a junction number, because it is equal to n+sod(n) for n = 23248247994 and 23248248012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23248248047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 984961 + ... + 1008287.

Almost surely, 223248248048 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 23248248048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33688781280).

23248248048 is an abundant number, since it is smaller than the sum of its proper divisors (44129314512).

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

23248248048 is a wasteful number, since it uses less digits than its factorization.

23248248048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24116 (or 24101 counting only the distinct ones).

The product of its (nonzero) digits is 786432, while the sum is 45.

The spelling of 23248248048 in words is "twenty-three billion, two hundred forty-eight million, two hundred forty-eight thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 769 1296 1538 2307 3076 4614 6152 6921 9228 12304 13842 18456 20763 23327 27684 36912 41526 46654 55368 62289 69981 83052 93308 110736 124578 139962 166104 186616 209943 249156 279924 332208 373232 419886 498312 559848 629829 839772 996624 1119696 1259658 1679544 1889487 2519316 3359088 3778974 5038632 7557948 10077264 15115896 17938463 30231792 35876926 53815389 71753852 107630778 143507704 161446167 215261556 287015408 322892334 430523112 484338501 645784668 861046224 968677002 1291569336 1453015503 1937354004 2583138672 2906031006 3874708008 5812062012 7749416016 11624124024 23248248048