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23093528948 = 22719234214483
BaseRepresentation
bin10101100000011110…
…110100100101110100
32012121102112211011222
4111200132310211310
5334243420411243
614335314245512
71445164520510
oct254036644564
965542484158
1023093528948
119880771116
124585b86898
132240578439
1411910b7140
15902637168
hex5607b4974

23093528948 has 96 divisors (see below), whose sum is σ = 50863626240. Its totient is φ = 8945354880.

The previous prime is 23093528897. The next prime is 23093528989. The reversal of 23093528948 is 84982539032.

It is a super-3 number, since 3×230935289483 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 23093528948.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5149115 + ... + 5153597.

It is an arithmetic number, because the mean of its divisors is an integer number (529829440).

Almost surely, 223093528948 is an apocalyptic number.

23093528948 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23093528948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25431813120).

23093528948 is an abundant number, since it is smaller than the sum of its proper divisors (27770097292).

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

23093528948 is a wasteful number, since it uses less digits than its factorization.

23093528948 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4957 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 53.

The spelling of 23093528948 in words is "twenty-three billion, ninety-three million, five hundred twenty-eight thousand, nine hundred forty-eight".

Divisors: 1 2 4 7 14 19 23 28 38 46 76 92 133 161 266 322 421 437 532 644 842 874 1684 1748 2947 3059 4483 5894 6118 7999 8966 9683 11788 12236 15998 17932 19366 31381 31996 38732 55993 62762 67781 85177 103109 111986 125524 135562 170354 183977 206218 223972 271124 340708 367954 412436 596239 721763 735908 1192478 1287839 1443526 1887343 1959071 2384956 2575678 2887052 3774686 3918142 5151356 7549372 7836284 13211401 13713497 26422802 27426994 35859517 43408889 52845604 54853988 71719034 86817778 143438068 173635556 251016619 303862223 502033238 607724446 824768891 1004066476 1215448892 1649537782 3299075564 5773382237 11546764474 23093528948