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21232995888 = 24313291279239
BaseRepresentation
bin10011110001100101…
…011100111000110000
32000210202121221122010
4103301211130320300
5321441121332023
613430532442520
71351113326046
oct236145347060
960722557563
1021232995888
119006522095
124146a79440
132004c828c0
141055d64396
15844123093
hex4f195ce30

21232995888 has 160 divisors (see below), whose sum is σ = 61596057600. Its totient is φ = 6257599488.

The previous prime is 21232995887. The next prime is 21232995899. The reversal of 21232995888 is 88859923212.

It is a super-2 number, since 2×212329958882 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (21232995887) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2293573 + ... + 2302811.

It is an arithmetic number, because the mean of its divisors is an integer number (384975360).

Almost surely, 221232995888 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 21232995888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30798028800).

21232995888 is an abundant number, since it is smaller than the sum of its proper divisors (40363061712).

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

21232995888 is a wasteful number, since it uses less digits than its factorization.

21232995888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9419 (or 9413 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

The spelling of 21232995888 in words is "twenty-one billion, two hundred thirty-two million, nine hundred ninety-five thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 39 48 52 58 78 87 104 116 127 156 174 208 232 254 312 348 377 381 464 508 624 696 754 762 1016 1131 1392 1508 1524 1651 2032 2262 3016 3048 3302 3683 4524 4953 6032 6096 6604 7366 9048 9239 9906 11049 13208 14732 18096 18478 19812 22098 26416 27717 29464 36956 39624 44196 47879 55434 58928 73912 79248 88392 95758 110868 120107 143637 147824 176784 191516 221736 240214 267931 287274 360321 383032 443472 480428 535862 574548 720642 766064 803793 960856 1071724 1149096 1173353 1441284 1607586 1921712 2143448 2298192 2346706 2882568 3215172 3483103 3520059 4286896 4693412 5765136 6430344 6966206 7040118 9386824 10449309 12860688 13932412 14080236 15253589 18773648 20898618 27864824 28160472 30507178 34027237 41797236 45760767 55729648 56320944 61014356 68054474 83594472 91521534 102081711 122028712 136108948 167188944 183043068 204163422 244057424 272217896 366086136 408326844 442354081 544435792 732172272 816653688 884708162 1327062243 1633307376 1769416324 2654124486 3538832648 5308248972 7077665296 10616497944 21232995888