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23425355352432 = 24311311431167849
BaseRepresentation
bin1010101001110001000111…
…11111000000100101110000
310001221102221021212111210210
411110320203333000211300
511032300111432234212
6121453243143024120
74635266100100215
oct524704377004560
9101842837774723
1023425355352432
117511701442730
122763ba813b040
13100c003496997
145adb16961b0c
152a9531e8a53c
hex154e23fc0970

23425355352432 has 80 divisors (see below), whose sum is σ = 68146488345600. Its totient is φ = 6869605670400.

The previous prime is 23425355352431. The next prime is 23425355352527.

23425355352432 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×234253553524323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23425355352431) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 715567557 + ... + 715600292.

It is an arithmetic number, because the mean of its divisors is an integer number (851831104320).

Almost surely, 223425355352432 is an apocalyptic number.

23425355352432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23425355352432 is an abundant number, since it is smaller than the sum of its proper divisors (44721132993168).

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

23425355352432 is a wasteful number, since it uses less digits than its factorization.

23425355352432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1431167902 (or 1431167896 counting only the distinct ones).

The product of its digits is 12960000, while the sum is 48.

It can be divided in two parts, 2342535 and 5352432, that added together give a palindrome (7694967).

The spelling of 23425355352432 in words is "twenty-three trillion, four hundred twenty-five billion, three hundred fifty-five million, three hundred fifty-two thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 33 44 48 62 66 88 93 124 132 176 186 248 264 341 372 496 528 682 744 1023 1364 1488 2046 2728 4092 5456 8184 16368 1431167849 2862335698 4293503547 5724671396 8587007094 11449342792 15742846339 17174014188 22898685584 31485692678 34348028376 44366203319 47228539017 62971385356 68696056752 88732406638 94457078034 125942770712 133098609957 177464813276 188914156068 251885541424 266197219914 354929626552 377828312136 488028236509 532394439828 709859253104 755656624272 976056473018 1064788879656 1464084709527 1952112946036 2129577759312 2928169419054 3904225892072 5856338838108 7808451784144 11712677676216 23425355352432