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16226933136 = 24323312511889
BaseRepresentation
bin11110001110011001…
…10101100110010000
31112212212211121112120
433013030311212100
5231213043330021
611242103254240
71113055440651
oct170714654620
945785747476
1016226933136
116977754047
12318a44a380
1316b7ab05ab
14add165528
1564e8c02c6
hex3c7335990

16226933136 has 160 divisors (see below), whose sum is σ = 45357096960. Its totient is φ = 4984320000.

The previous prime is 16226933119. The next prime is 16226933141. The reversal of 16226933136 is 63133962261.

It is a happy number.

16226933136 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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, 8589280 + ... + 8591168.

It is an arithmetic number, because the mean of its divisors is an integer number (283481856).

Almost surely, 216226933136 is an apocalyptic number.

16226933136 is a gapful number since it is divisible by the number (16) 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 16226933136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678548480).

16226933136 is an abundant number, since it is smaller than the sum of its proper divisors (29130163824).

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

16226933136 is a wasteful number, since it uses less digits than its factorization.

16226933136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2205 (or 2199 counting only the distinct ones).

The product of its digits is 209952, while the sum is 42.

The spelling of 16226933136 in words is "sixteen billion, two hundred twenty-six million, nine hundred thirty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 46 48 62 69 92 93 124 138 184 186 248 251 276 368 372 496 502 552 713 744 753 1004 1104 1426 1488 1506 1889 2008 2139 2852 3012 3778 4016 4278 5667 5704 5773 6024 7556 7781 8556 11334 11408 11546 12048 15112 15562 17112 17319 22668 23092 23343 30224 31124 34224 34638 43447 45336 46184 46686 58559 62248 69276 86894 90672 92368 93372 117118 124496 130341 138552 173788 175677 178963 186744 234236 260682 277104 347576 351354 357926 373488 468472 474139 521364 536889 695152 702708 715852 936944 948278 1042728 1073778 1346857 1405416 1422417 1431704 1896556 2085456 2147556 2693714 2810832 2844834 2863408 3793112 4040571 4295112 5387428 5689668 7586224 8081142 8590224 10774856 10905197 11379336 14698309 16162284 21549712 21810394 22758672 29396618 32324568 32715591 43620788 44094927 58793236 64649136 65431182 87241576 88189854 117586472 130862364 174483152 176379708 235172944 261724728 338061107 352759416 523449456 676122214 705518832 1014183321 1352244428 2028366642 2704488856 4056733284 5408977712 8113466568 16226933136