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23331013424432 = 2473113614937371
BaseRepresentation
bin1010100111000001011001…
…10001000111010100110000
310001121102102102220000012022
411103200230301013110300
511024223403414040212
6121342041500051012
74625416155662360
oct523405461072460
9101542372800168
1023331013424432
11748569992689a
122749859233a68
131003149c64c4c
145a93271449a0
152a6d5e846772
hex15382cc47530

23331013424432 has 80 divisors (see below), whose sum is σ = 53367224469504. Its totient is φ = 9669345408000.

The previous prime is 23331013424431. The next prime is 23331013424447. The reversal of 23331013424432 is 23442431013332.

It is a super-2 number, since 2×233310134244322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23331013424392 and 23331013424401.

It is not an unprimeable number, because it can be changed into a prime (23331013424431) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 2256707 + ... + 7194077.

Almost surely, 223331013424432 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 23331013424432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26683612234752).

23331013424432 is an abundant number, since it is smaller than the sum of its proper divisors (30036211045072).

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

23331013424432 is a wasteful number, since it uses less digits than its factorization.

23331013424432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4938778 (or 4938772 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 35.

Adding to 23331013424432 its reverse (23442431013332), we get a palindrome (46773444437764).

The spelling of 23331013424432 in words is "twenty-three trillion, three hundred thirty-one billion, thirteen million, four hundred twenty-four thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 434 496 868 1361 1736 2722 3472 5444 9527 10888 19054 21776 38108 42191 76216 84382 152432 168764 295337 337528 590674 675056 1181348 2362696 4725392 4937371 9874742 19749484 34561597 39498968 69123194 78997936 138246388 153058501 276492776 306117002 552985552 612234004 1071409507 1224468008 2142819014 2448936016 4285638028 6719761931 8571276056 13439523862 17142552112 26879047724 47038333517 53758095448 94076667034 107516190896 188153334068 208312619861 376306668136 416625239722 752613336272 833250479444 1458188339027 1666500958888 2916376678054 3333001917776 5832753356108 11665506712216 23331013424432