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23231163432 = 233231372771109
BaseRepresentation
bin10101101000101011…
…110110110000101000
32012222000112101012110
4111220223312300220
5340034134212212
614401112242320
71451455426311
oct255053666050
965860471173
1023231163432
119941427a24
1246040a03a0
132262c37b69
1411a54a3608
1590e772a3c
hex568af6c28

23231163432 has 128 divisors (see below), whose sum is σ = 61321017600. Its totient is φ = 7319820288.

The previous prime is 23231163427. The next prime is 23231163443. The reversal of 23231163432 is 23436113232.

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

It is a self number, because there is not a number n which added to its sum of digits gives 23231163432.

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, 20947294 + ... + 20948402.

It is an arithmetic number, because the mean of its divisors is an integer number (479070450).

Almost surely, 223231163432 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 23231163432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30660508800).

23231163432 is an abundant number, since it is smaller than the sum of its proper divisors (38089854168).

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

23231163432 is a wasteful number, since it uses less digits than its factorization.

23231163432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1555 (or 1551 counting only the distinct ones).

The product of its digits is 15552, while the sum is 30.

Adding to 23231163432 its reverse (23436113232), we get a palindrome (46667276664).

The spelling of 23231163432 in words is "twenty-three billion, two hundred thirty-one million, one hundred sixty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 23 24 46 69 92 137 138 184 274 276 277 411 548 552 554 822 831 1096 1108 1109 1644 1662 2216 2218 3151 3288 3324 3327 4436 6302 6371 6648 6654 8872 9453 12604 12742 13308 18906 19113 25208 25484 25507 26616 37812 37949 38226 50968 51014 75624 75898 76452 76521 102028 113847 151796 151933 152904 153042 204056 227694 303592 303866 306084 307193 455388 455799 607732 612168 614386 872827 910776 911598 921579 1215464 1228772 1745654 1823196 1843158 2457544 2618481 3491308 3494459 3646392 3686316 5236962 6982616 6988918 7065439 7372632 10473924 10483377 13977836 14130878 20947848 20966754 21196317 27955672 28261756 41933508 42085441 42392634 56523512 83867016 84170882 84785268 126256323 168341764 169570536 252512646 336683528 505025292 967965143 1010050584 1935930286 2903895429 3871860572 5807790858 7743721144 11615581716 23231163432