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21155833104 = 2437228033209
BaseRepresentation
bin10011101100111111…
…000110010100010000
32000121101102200012020
4103230333012110100
5321311343124404
613415134531440
71346155420500
oct235477062420
960541380166
1021155833104
118a76a0959a
124125066b80
131cc1ca6a53
1410499d9a00
1583c47eed9
hex4ecfc6510

21155833104 has 120 divisors (see below), whose sum is σ = 63617937120. Its totient is φ = 6040484352.

The previous prime is 21155833103. The next prime is 21155833177. The reversal of 21155833104 is 40133855112.

It is not an unprimeable number, because it can be changed into a prime (21155833103) 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 23 ways as a sum of consecutive naturals, for example, 6591052 + ... + 6594260.

It is an arithmetic number, because the mean of its divisors is an integer number (530149476).

Almost surely, 221155833104 is an apocalyptic number.

21155833104 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 21155833104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31808968560).

21155833104 is an abundant number, since it is smaller than the sum of its proper divisors (42462104016).

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

21155833104 is a wasteful number, since it uses less digits than its factorization.

21155833104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6037 (or 6024 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 33.

The spelling of 21155833104 in words is "twenty-one billion, one hundred fifty-five million, eight hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 294 336 392 588 784 1176 2352 2803 3209 5606 6418 8409 9627 11212 12836 16818 19254 19621 22424 22463 25672 33636 38508 39242 44848 44926 51344 58863 67272 67389 77016 78484 89852 117726 134544 134778 137347 154032 156968 157241 179704 235452 269556 274694 313936 314482 359408 412041 470904 471723 539112 549388 628964 824082 941808 943446 1078224 1098776 1257928 1648164 1886892 2197552 2515856 3296328 3773784 6592656 7547568 8994827 17989654 26984481 35979308 53968962 62963789 71958616 107937924 125927578 143917232 188891367 215875848 251855156 377782734 431751696 440746523 503710312 755565468 881493046 1007420624 1322239569 1511130936 1762986092 2644479138 3022261872 3525972184 5288958276 7051944368 10577916552 21155833104