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23033021042432 = 28463244179609
BaseRepresentation
bin1010011110010110010110…
…00010011000111100000000
310000112221020211122112121102
411033023023002120330000
511004333111341324212
6120553120201113532
74565036506350512
oct517131302307400
9100487224575542
1023033021042432
1173802819aa725
1226bbb541888a8
13cb100a049cab
14598b388c1bb2
1529e21d5525c2
hex14f2cb098f00

23033021042432 has 72 divisors (see below), whose sum is σ = 46094824332480. Its totient is φ = 11486784798720.

The previous prime is 23033021042417. The next prime is 23033021042509. The reversal of 23033021042432 is 23424012033032.

It is a super-2 number, since 2×230330210424322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23033021042395 and 23033021042404.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 289287044 + ... + 289366652.

Almost surely, 223033021042432 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 23033021042432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23047412166240).

23033021042432 is an abundant number, since it is smaller than the sum of its proper divisors (23061803290048).

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

23033021042432 is an equidigital number, since it uses as much as digits as its factorization.

23033021042432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82529 (or 82515 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 29.

Adding to 23033021042432 its reverse (23424012033032), we get a palindrome (46457033075464).

The spelling of 23033021042432 in words is "twenty-three trillion, thirty-three billion, twenty-one million, forty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 256 463 926 1852 2441 3704 4882 7408 9764 14816 19528 29632 39056 59264 78112 79609 118528 156224 159218 312448 318436 624896 636872 1130183 1273744 2260366 2547488 4520732 5094976 9041464 10189952 18082928 20379904 36165856 36858967 72331712 73717934 144663424 147435868 194325569 289326848 294871736 388651138 589743472 777302276 1179486944 1554604552 2358973888 3109209104 4717947776 6218418208 9435895552 12436836416 24873672832 49747345664 89972738447 179945476894 359890953788 719781907576 1439563815152 2879127630304 5758255260608 11516510521216 23033021042432