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21255361512 = 233741133533
BaseRepresentation
bin10011110010111010…
…110001001111101000
32000212022201020111120
4103302322301033220
5322012333032022
613433052055240
71351504410000
oct236272611750
960768636446
1021255361512
119018108780
124152464520
1320097b39b8
141058d07000
1584608ed5c
hex4f2eb13e8

21255361512 has 160 divisors (see below), whose sum is σ = 67628688480. Its totient is φ = 5520708480.

The previous prime is 21255361507. The next prime is 21255361531. The reversal of 21255361512 is 21516355212.

It is a super-2 number, since 2×212553615122 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 617098 + ... + 650630.

It is an arithmetic number, because the mean of its divisors is an integer number (422679303).

Almost surely, 221255361512 is an apocalyptic number.

21255361512 is a gapful number since it is divisible by the number (22) 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 21255361512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33814344240).

21255361512 is an abundant number, since it is smaller than the sum of its proper divisors (46373326968).

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

21255361512 is a wasteful number, since it uses less digits than its factorization.

21255361512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33581 (or 33556 counting only the distinct ones).

The product of its digits is 18000, while the sum is 33.

The spelling of 21255361512 in words is "twenty-one billion, two hundred fifty-five million, three hundred sixty-one thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 49 56 66 77 84 88 98 132 147 154 168 196 231 264 294 308 343 392 462 539 588 616 686 924 1029 1078 1176 1372 1617 1848 2058 2156 2401 2744 3234 3773 4116 4312 4802 6468 7203 7546 8232 9604 11319 12936 14406 15092 19208 22638 26411 28812 30184 33533 45276 52822 57624 67066 79233 90552 100599 105644 134132 158466 201198 211288 234731 268264 316932 368863 402396 469462 633864 704193 737726 804792 938924 1106589 1408386 1475452 1643117 1877848 2213178 2582041 2816772 2950904 3286234 4426356 4929351 5164082 5633544 6572468 7746123 8852712 9858702 10328164 11501819 13144936 15492246 18074287 19717404 20656328 23003638 30984492 34505457 36148574 39434808 46007276 54222861 61968984 69010914 72297148 80512733 92014552 108445722 126520009 138021828 144594296 161025466 216891444 241538199 253040018 276043656 322050932 379560027 433782888 483076398 506080036 644101864 759120054 885640063 966152796 1012160072 1518240108 1771280126 1932305592 2656920189 3036480216 3542560252 5313840378 7085120504 10627680756 21255361512