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21633297972 = 223111336734351
BaseRepresentation
bin10100001001011100…
…011110111000110100
32001211122212101212020
4110021130132320310
5323301111013342
613534352353140
71364043666366
oct241134367064
961748771766
1021633297972
1191a1483a60
124238b457b0
132069b9b840
1410931a6d36
158693460ec
hex50971ee34

21633297972 has 96 divisors (see below), whose sum is σ = 59465785344. Its totient is φ = 6034608000.

The previous prime is 21633297947. The next prime is 21633297977. The reversal of 21633297972 is 27979233612.

It is a super-2 number, since 2×216332979722 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21633297977) 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 31 ways as a sum of consecutive naturals, for example, 612597 + ... + 646947.

It is an arithmetic number, because the mean of its divisors is an integer number (619435264).

Almost surely, 221633297972 is an apocalyptic number.

21633297972 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 21633297972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29732892672).

21633297972 is an abundant number, since it is smaller than the sum of its proper divisors (37832487372).

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

21633297972 is a wasteful number, since it uses less digits than its factorization.

21633297972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34749 (or 34747 counting only the distinct ones).

The product of its digits is 1714608, while the sum is 51.

The spelling of 21633297972 in words is "twenty-one billion, six hundred thirty-three million, two hundred ninety-seven thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 11 12 13 22 26 33 39 44 52 66 78 132 143 156 286 367 429 572 734 858 1101 1468 1716 2202 4037 4404 4771 8074 9542 12111 14313 16148 19084 24222 28626 34351 48444 52481 57252 68702 103053 104962 137404 157443 206106 209924 314886 377861 412212 446563 629772 755722 893126 1133583 1339689 1511444 1786252 2267166 2679378 4534332 4912193 5358756 9824386 12606817 14736579 19648772 25213634 29473158 37820451 50427268 58946316 75640902 138674987 151281804 163888621 277349974 327777242 416024961 491665863 554699948 655554484 832049922 983331726 1664099844 1802774831 1966663452 3605549662 5408324493 7211099324 10816648986 21633297972