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21183317428 = 227131034011409
BaseRepresentation
bin10011101110100111…
…111100010110110100
32000200022011000121011
4103232213330112310
5321340412124203
613422000002004
71346641140640
oct235647742664
960608130534
1021183317428
118a90480a09
124132300304
131cc78aa970
14104d511c20
1583eaad76d
hex4ee9fc5b4

21183317428 has 96 divisors (see below), whose sum is σ = 46216235520. Its totient is φ = 8272281600.

The previous prime is 21183317401. The next prime is 21183317447. The reversal of 21183317428 is 82471338112.

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, 15033588 + ... + 15034996.

It is an arithmetic number, because the mean of its divisors is an integer number (481419120).

Almost surely, 221183317428 is an apocalyptic number.

21183317428 is a gapful number since it is divisible by the number (28) 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 21183317428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23108117760).

21183317428 is an abundant number, since it is smaller than the sum of its proper divisors (25032918092).

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

21183317428 is a wasteful number, since it uses less digits than its factorization.

21183317428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1937 (or 1935 counting only the distinct ones).

The product of its digits is 64512, while the sum is 40.

The spelling of 21183317428 in words is "twenty-one billion, one hundred eighty-three million, three hundred seventeen thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 26 28 52 91 103 182 206 364 401 412 721 802 1339 1409 1442 1604 2678 2807 2818 2884 5213 5356 5614 5636 9373 9863 10426 11228 18317 18746 19726 20852 36491 36634 37492 39452 41303 72982 73268 82606 128219 145127 145964 165212 256438 289121 290254 512876 536939 565009 578242 580508 1015889 1073878 1130018 1156484 1886651 2031778 2147756 2260036 3758573 3773302 3955063 4063556 7345117 7517146 7546604 7910126 13206557 14690234 15034292 15820252 26413114 29380468 51415819 52826228 58195927 102831638 116391854 205663276 232783708 407371489 756547051 814742978 1513094102 1629485956 3026188204 5295829357 10591658714 21183317428