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23284430048 = 2511416126449
BaseRepresentation
bin10101101011110111…
…000011010011100000
32020002201202121021002
4111223313003103200
5340141303230143
614410254051132
71453003250465
oct255367032340
966081677232
1023284430048
1199694a9a20
124619aa9aa8
132270c98079
1411ac5ab66c
159142955b8
hex56bdc34e0

23284430048 has 96 divisors (see below), whose sum is σ = 52070104800. Its totient is φ = 10156032000.

The previous prime is 23284430047. The next prime is 23284430051. The reversal of 23284430048 is 84003448232.

It is a junction number, because it is equal to n+sod(n) for n = 23284429993 and 23284430020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23284430041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 867128 + ... + 893576.

It is an arithmetic number, because the mean of its divisors is an integer number (542396925).

Almost surely, 223284430048 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 23284430048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26035052400).

23284430048 is an abundant number, since it is smaller than the sum of its proper divisors (28785674752).

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

23284430048 is a wasteful number, since it uses less digits than its factorization.

23284430048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26572 (or 26564 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 38.

The spelling of 23284430048 in words is "twenty-three billion, two hundred eighty-four million, four hundred thirty thousand, forty-eight".

Divisors: 1 2 4 8 11 16 22 32 41 44 61 82 88 122 164 176 244 328 352 451 488 656 671 902 976 1312 1342 1804 1952 2501 2684 3608 5002 5368 7216 10004 10736 14432 20008 21472 26449 27511 40016 52898 55022 80032 105796 110044 211592 220088 290939 423184 440176 581878 846368 880352 1084409 1163756 1613389 2168818 2327512 3226778 4337636 4655024 6453556 8675272 9310048 11928499 12907112 17350544 17747279 23856998 25814224 34701088 35494558 47713996 51628448 66148949 70989116 95427992 132297898 141978232 190855984 264595796 283956464 381711968 529191592 567912928 727638439 1058383184 1455276878 2116766368 2910553756 5821107512 11642215024 23284430048