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21931792308036 = 22321385366738233
BaseRepresentation
bin1001111110010011001001…
…01100001001011101000100
32212122122210022111121011100
410333021210230021131010
510333312302312324121
6114351154251340100
74422343154510112
oct477114454113504
985578708447140
1021931792308036
116a96247aa7366
122562640a51630
13c3120b829660
1455b70c168ab2
15280769c8c026
hex13f264b09744

21931792308036 has 144 divisors (see below), whose sum is σ = 59789423193136. Its totient is φ = 6738503933952.

The previous prime is 21931792308031. The next prime is 21931792308043. The reversal of 21931792308036 is 63080329713912.

21931792308036 is a `hidden beast` number, since 2 + 19 + 317 + 9 + 2 + 308 + 0 + 3 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 14066325260100 + 7865467047936 = 3750510^2 + 2804544^2 .

It is not an unprimeable number, because it can be changed into a prime (21931792308031) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2663884176 + ... + 2663892408.

Almost surely, 221931792308036 is an apocalyptic number.

21931792308036 is a gapful number since it is divisible by the number (26) 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 21931792308036, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29894711596568).

21931792308036 is an abundant number, since it is smaller than the sum of its proper divisors (37857630885100).

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

21931792308036 is a wasteful number, since it uses less digits than its factorization.

21931792308036 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15782 (or 15777 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 54.

The spelling of 21931792308036 in words is "twenty-one trillion, nine hundred thirty-one billion, seven hundred ninety-two million, three hundred eight thousand, thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 853 1706 2559 3412 5118 6673 7677 8233 10236 11089 13346 15354 16466 20019 22178 24699 26692 30708 32932 33267 40038 44356 49398 60057 66534 74097 80076 86749 98796 99801 107029 120114 133068 148194 173498 199602 214058 240228 260247 296388 321087 346996 399204 428116 520494 642174 780741 963261 1040988 1284348 1561482 1926522 3122964 3853044 5692069 7022749 11384138 14045498 17076207 21068247 22768276 28090996 34152414 42136494 51228621 54938809 63204741 68304828 73996897 84272988 91295737 102457242 109877618 126409482 147993794 164816427 182591474 204914484 219755236 221990691 252818964 273887211 295987588 329632854 365182948 443981382 494449281 547774422 659265708 665972073 714204517 821661633 887962764 988898562 1095548844 1331944146 1428409034 1643323266 1977797124 2142613551 2663888292 2856818068 3286646532 4285227102 6427840653 8570454204 12855681306 25711362612 46862804077 93725608154 140588412231 187451216308 281176824462 421765236693 562353648924 609216453001 843530473386 1218432906002 1687060946772 1827649359003 2436865812004 3655298718006 5482948077009 7310597436012 10965896154018 21931792308036