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20910830264000 = 26533299792317
BaseRepresentation
bin1001100000100101011101…
…00111000001111011000000
32202001001111201022000002222
410300102232213001323000
510220100340021422000
6112250145223430212
74255520603356055
oct460225647017300
982031451260088
1020910830264000
1167322625a3536
1224187aa8b5368
13b88b62778381
14524137b6d02c
15263e130c4a85
hex1304ae9c1ec0

20910830264000 has 112 divisors (see below), whose sum is σ = 51801433912800. Its totient is φ = 8361786137600.

The previous prime is 20910830263957. The next prime is 20910830264021. The reversal of 20910830264000 is 46203801902.

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 15 ways as a sum of consecutive naturals, for example, 25995842 + ... + 26788158.

Almost surely, 220910830264000 is an apocalyptic number.

20910830264000 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 20910830264000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25900716956400).

20910830264000 is an abundant number, since it is smaller than the sum of its proper divisors (30890603648800).

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

20910830264000 is an equidigital number, since it uses as much as digits as its factorization.

20910830264000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 795643 (or 795623 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The spelling of 20910830264000 in words is "twenty trillion, nine hundred ten billion, eight hundred thirty million, two hundred sixty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 3299 4000 6598 8000 13196 16495 26392 32990 52784 65980 82475 105568 131960 164950 211136 263920 329900 412375 527840 659800 792317 824750 1055680 1319600 1584634 1649500 2639200 3169268 3299000 3961585 5278400 6338536 6598000 7923170 12677072 13196000 15846340 19807925 25354144 26392000 31692680 39615850 50708288 63385360 79231700 99039625 126770720 158463400 198079250 253541440 316926800 396158500 633853600 792317000 1267707200 1584634000 2613853783 3169268000 5227707566 6338536000 10455415132 13069268915 20910830264 26138537830 41821660528 52277075660 65346344575 83643321056 104554151320 130692689150 167286642112 209108302640 261385378300 326731722875 418216605280 522770756600 653463445750 836433210560 1045541513200 1306926891500 2091083026400 2613853783000 4182166052800 5227707566000 10455415132000 20910830264000