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23312455421332 = 227111314191378961
BaseRepresentation
bin1010100110011110110101…
…00111111100110110010100
310001112122112002201202211011
411103033122213330312110
511023422402041440312
6121325332201422004
74624161243364150
oct523173247746624
9101478462652734
1023312455421332
117478836370450
12274613a19a904
13100148025151c
145a8486584060
152a66254b8da7
hex1533da9fcd94

23312455421332 has 96 divisors (see below), whose sum is σ = 51374167004160. Its totient is φ = 8991922368000.

The previous prime is 23312455421323. The next prime is 23312455421357.

23312455421332 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16216332 + ... + 17595292.

It is an arithmetic number, because the mean of its divisors is an integer number (535147572960).

Almost surely, 223312455421332 is an apocalyptic number.

23312455421332 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 23312455421332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25687083502080).

23312455421332 is an abundant number, since it is smaller than the sum of its proper divisors (28061711582828).

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

23312455421332 is a wasteful number, since it uses less digits than its factorization.

23312455421332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1379533 (or 1379531 counting only the distinct ones).

The product of its digits is 518400, while the sum is 40.

It can be divided in two parts, 2331245 and 5421332, that added together give a palindrome (7752577).

The spelling of 23312455421332 in words is "twenty-three trillion, three hundred twelve billion, four hundred fifty-five million, four hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 11 14 22 28 44 77 131 154 262 308 419 524 838 917 1441 1676 1834 2882 2933 3668 4609 5764 5866 9218 10087 11732 18436 20174 32263 40348 54889 64526 109778 129052 219556 384223 603779 768446 1207558 1378961 1536892 2415116 2757922 4226453 5515844 8452906 9652727 15168571 16905812 19305454 30337142 38610908 60674284 106179997 180643891 212359994 361287782 424719988 577784659 722575564 1155569318 1264507237 1987082801 2311138636 2529014474 3974165602 4044492613 5058028948 6355631249 7948331204 8088985226 12711262498 13909579607 16177970452 25422524996 27819159214 44489418743 55638318428 75689790329 88978837486 151379580658 177957674972 302759161316 529828532303 832587693619 1059657064606 1665175387238 2119314129212 3330350774476 5828113855333 11656227710666 23312455421332