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23325341292 = 223211972812161
BaseRepresentation
bin10101101110010011…
…000111011001101100
32020012120202002221100
4111232103013121230
5340232241410132
614414315003100
71454011062321
oct255623073154
966176662840
1023325341292
11998a602170
12462b739490
1322795c05c6
1411b3bbab48
15917b7737c
hex56e4c766c

23325341292 has 144 divisors (see below), whose sum is σ = 65245942944. Its totient is φ = 6967296000.

The previous prime is 23325341269. The next prime is 23325341323. The reversal of 23325341292 is 29214352332.

23325341292 is a `hidden beast` number, since 2 + 3 + 3 + 25 + 341 + 292 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10792692 + ... + 10794852.

It is an arithmetic number, because the mean of its divisors is an integer number (453096826).

Almost surely, 223325341292 is an apocalyptic number.

23325341292 is a gapful number since it is divisible by the number (22) 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 23325341292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622971472).

23325341292 is an abundant number, since it is smaller than the sum of its proper divisors (41920601652).

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

23325341292 is a wasteful number, since it uses less digits than its factorization.

23325341292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2560 (or 2555 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The spelling of 23325341292 in words is "twenty-three billion, three hundred twenty-five million, three hundred forty-one thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 97 99 132 194 198 281 291 388 396 562 582 843 873 1067 1124 1164 1686 1746 2134 2161 2529 3091 3201 3372 3492 4268 4322 5058 6182 6402 6483 8644 9273 9603 10116 12364 12804 12966 18546 19206 19449 23771 25932 27257 27819 37092 38412 38898 47542 54514 55638 71313 77796 81771 95084 109028 111276 142626 163542 209617 213939 245313 285252 299827 327084 419234 427878 490626 599654 607241 628851 838468 855756 899481 981252 1199308 1214482 1257702 1798962 1821723 1886553 2305787 2428964 2515404 2698443 3597924 3643446 3773106 4611574 5396886 5465169 6679651 6917361 7286892 7546212 9223148 10793772 10930338 13359302 13834722 20038953 20752083 21860676 26718604 27669444 40077906 41504166 58902377 60116859 80155812 83008332 117804754 120233718 176707131 235609508 240467436 353414262 530121393 647926147 706828524 1060242786 1295852294 1943778441 2120485572 2591704588 3887556882 5831335323 7775113764 11662670646 23325341292