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23235455034 = 232112192512237
BaseRepresentation
bin10101101000111100…
…001110100000111010
32012222022121102011200
4111220330032200322
5340041234030114
614401344235030
71451540052261
oct255074164072
965868542150
1023235455034
119943899300
12460560ba76
132263aab37c
1411a5c9d5d8
1590ed1e409
hex568f0e83a

23235455034 has 144 divisors (see below), whose sum is σ = 58506870240. Its totient is φ = 6640920000.

The previous prime is 23235455021. The next prime is 23235455057. The reversal of 23235455034 is 43055453232.

23235455034 is a `hidden beast` number, since 2 + 3 + 23 + 54 + 550 + 34 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 23235455034.

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 71 ways as a sum of consecutive naturals, for example, 10385764 + ... + 10388000.

It is an arithmetic number, because the mean of its divisors is an integer number (406297710).

Almost surely, 223235455034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23235455034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29253435120).

23235455034 is an abundant number, since it is smaller than the sum of its proper divisors (35271415206).

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

23235455034 is a wasteful number, since it uses less digits than its factorization.

23235455034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2537 (or 2523 counting only the distinct ones).

The product of its (nonzero) digits is 216000, while the sum is 36.

The spelling of 23235455034 in words is "twenty-three billion, two hundred thirty-five million, four hundred fifty-five thousand, thirty-four".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 121 171 198 209 242 251 342 363 418 502 627 726 753 1089 1254 1506 1881 2178 2237 2259 2299 2761 3762 4474 4518 4598 4769 5522 6711 6897 8283 9538 13422 13794 14307 16566 20133 20691 24607 24849 28614 30371 40266 41382 42503 42921 49214 49698 52459 60742 73821 85006 85842 91113 104918 127509 147642 157377 182226 221463 255018 270677 273339 314754 382527 442926 467533 472131 541354 546678 561487 577049 765054 812031 935066 944262 1122974 1154098 1402599 1624062 1684461 1731147 2436093 2805198 3368922 3462294 4207797 4872186 5053383 5142863 5193441 6176357 8415594 10106766 10285726 10386882 10668253 12352714 15428589 18529071 21336506 30857178 32004759 37058142 46285767 55587213 64009518 67939927 92571534 96014277 111174426 117350783 135879854 192028554 203819781 234701566 352052349 407639562 611459343 704104698 1056157047 1222918686 1290858613 2112314094 2581717226 3872575839 7745151678 11617727517 23235455034