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23057240206600 = 23523791263724071
BaseRepresentation
bin1010011111000011011101…
…00111001010110100001000
310000122020202201021120000201
411033201232213022310020
511010232211443102400
6121012203325541544
74566554623013545
oct517415647126410
9100566681246021
1023057240206600
11738a57aaa5186
1227047931148b4
13cb3399880472
14599d9528bbcc
1529eb898d606a
hex14f86e9cad08

23057240206600 has 96 divisors (see below), whose sum is σ = 53756016091200. Its totient is φ = 9197451244800.

The previous prime is 23057240206523. The next prime is 23057240206601. The reversal of 23057240206600 is 660204275032.

It is a super-2 number, since 2×230572402066002 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 23057240206600.

It is not an unprimeable number, because it can be changed into a prime (23057240206601) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 957872565 + ... + 957896635.

It is an arithmetic number, because the mean of its divisors is an integer number (559958500950).

Almost surely, 223057240206600 is an apocalyptic number.

23057240206600 is a gapful number since it is divisible by the number (20) 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 23057240206600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26878008045600).

23057240206600 is an abundant number, since it is smaller than the sum of its proper divisors (30698775884600).

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

23057240206600 is a wasteful number, since it uses less digits than its factorization.

23057240206600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37103 (or 37094 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 37.

The spelling of 23057240206600 in words is "twenty-three trillion, fifty-seven billion, two hundred forty million, two hundred six thousand, six hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 379 758 1516 1895 3032 3790 7580 9475 12637 15160 18950 24071 25274 37900 48142 50548 63185 75800 96284 101096 120355 126370 192568 240710 252740 315925 481420 505480 601775 631850 962840 1203550 1263700 2407100 2527400 4789423 4814200 9122909 9578846 18245818 19157692 23947115 36491636 38315384 45614545 47894230 72983272 91229090 95788460 119735575 182458180 191576920 228072725 239471150 304185227 364916360 456145450 478942300 608370454 912290900 957884600 1216740908 1520926135 1824581800 2433481816 3041852270 6083704540 7604630675 12167409080 15209261350 30418522700 60837045400 115286201033 230572402066 461144804132 576431005165 922289608264 1152862010330 2305724020660 2882155025825 4611448041320 5764310051650 11528620103300 23057240206600