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21090417791460 = 223513115217176333
BaseRepresentation
bin1001100101110011111101…
…10111000101000111100100
32202200020001110220122101220
410302321332313011013210
510231021133423311320
6112504445411420340
74304506133226243
oct462717667050744
982606043818356
1021090417791460
1167a143a020a16
12244756a2b46b0
13b9ca82b02214
1452cad2c7895a
152689244a3e40
hex132e7edc51e4

21090417791460 has 96 divisors (see below), whose sum is σ = 59508205206912. Its totient is φ = 5580780840960.

The previous prime is 21090417791389. The next prime is 21090417791479. The reversal of 21090417791460 is 6419771409012.

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, 119517454 + ... + 119693786.

It is an arithmetic number, because the mean of its divisors is an integer number (619877137572).

Almost surely, 221090417791460 is an apocalyptic number.

21090417791460 is a gapful number since it is divisible by the number (20) 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 21090417791460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29754102603456).

21090417791460 is an abundant number, since it is smaller than the sum of its proper divisors (38417787415452).

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

21090417791460 is a wasteful number, since it uses less digits than its factorization.

21090417791460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191693 (or 191691 counting only the distinct ones).

The product of its (nonzero) digits is 762048, while the sum is 51.

The spelling of 21090417791460 in words is "twenty-one trillion, ninety billion, four hundred seventeen million, seven hundred ninety-one thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 15217 30434 45651 60868 76085 91302 152170 176333 182604 228255 304340 352666 456510 528999 705332 881665 913020 1057998 1763330 1993427 2115996 2644995 3526660 3986854 5289990 5980281 7973708 9967135 10579980 11960562 19934270 23099623 23921124 29901405 39868540 46199246 59802810 69298869 92398492 115498115 119605620 138597738 230996230 277195476 346494345 461992460 692988690 1385977380 2683259261 5366518522 8049777783 10733037044 13416296305 16099555566 26832592610 32199111132 40248888915 53665185220 80497777830 160995555660 351506963191 703013926382 1054520889573 1406027852764 1757534815955 2109041779146 3515069631910 4218083558292 5272604447865 7030139263820 10545208895730 21090417791460