Search a number
-
+
21433093104 = 2432967792909
BaseRepresentation
bin10011111101100000…
…110000101111110000
32001022201010221102010
4103331200300233300
5322343332434404
613502441322520
71356063166623
oct237540605760
961281127363
1021433093104
1190a9471095
1241a1a96440
132037572217
14107476ddba
1585699b189
hex4fd830bf0

21433093104 has 160 divisors (see below), whose sum is σ = 58889088000. Its totient is φ = 6706732032.

The previous prime is 21433093091. The next prime is 21433093117. The reversal of 21433093104 is 40139033412.

It is an interprime number because it is at equal distance from previous prime (21433093091) and next prime (21433093117).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7366402 + ... + 7369310.

It is an arithmetic number, because the mean of its divisors is an integer number (368056800).

Almost surely, 221433093104 is an apocalyptic number.

21433093104 is a gapful number since it is divisible by the number (24) 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 21433093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29444544000).

21433093104 is an abundant number, since it is smaller than the sum of its proper divisors (37455994896).

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

21433093104 is a wasteful number, since it uses less digits than its factorization.

21433093104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The spelling of 21433093104 in words is "twenty-one billion, four hundred thirty-three million, ninety-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 29 48 58 67 79 87 116 134 158 174 201 232 237 268 316 348 402 464 474 536 632 696 804 948 1072 1264 1392 1608 1896 1943 2291 2909 3216 3792 3886 4582 5293 5818 5829 6873 7772 8727 9164 10586 11636 11658 13746 15544 15879 17454 18328 21172 23272 23316 27492 31088 31758 34908 36656 42344 46544 46632 54984 63516 69816 84361 84688 93264 109968 127032 139632 153497 168722 194903 229811 253083 254064 306994 337444 389806 459622 460491 506166 584709 613988 674888 689433 779612 919244 920982 1012332 1169418 1227976 1349776 1378866 1559224 1838488 1841964 2024664 2338836 2455952 2757732 3118448 3676976 3683928 4049328 4677672 5515464 5652187 6664519 7367856 9355344 11030928 11304374 13329038 15397337 16956561 19993557 22608748 26658076 30794674 33913122 39987114 45217496 46192011 53316152 61589348 67826244 79974228 90434992 92384022 106632304 123178696 135652488 159948456 184768044 246357392 271304976 319896912 369536088 446522773 739072176 893045546 1339568319 1786091092 2679136638 3572182184 5358273276 7144364368 10716546552 21433093104