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19330121216 = 297291791039
BaseRepresentation
bin10010000000001010…
…100011111000000000
31211220011000220022102
4102000022203320000
5304042002334331
612514035325532
71253006214350
oct220012437000
954804026272
1019330121216
11821a39319a
1238b57508a8
131a90983763
14d1534cb60
157820484cb
hex4802a3e00

19330121216 has 160 divisors (see below), whose sum is σ = 45961344000. Its totient is φ = 7946330112.

The previous prime is 19330121189. The next prime is 19330121231. The reversal of 19330121216 is 61212103391.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18604025 + ... + 18605063.

It is an arithmetic number, because the mean of its divisors is an integer number (287258400).

Almost surely, 219330121216 is an apocalyptic number.

19330121216 is a gapful number since it is divisible by the number (16) 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 19330121216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22980672000).

19330121216 is an abundant number, since it is smaller than the sum of its proper divisors (26631222784).

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

19330121216 is a wasteful number, since it uses less digits than its factorization.

19330121216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1272 (or 1256 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 29.

The spelling of 19330121216 in words is "nineteen billion, three hundred thirty million, one hundred twenty-one thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 179 203 224 232 256 358 406 448 464 512 716 812 896 928 1039 1253 1432 1624 1792 1856 2078 2506 2864 3248 3584 3712 4156 5012 5191 5728 6496 7273 7424 8312 10024 10382 11456 12992 14546 14848 16624 20048 20764 22912 25984 29092 30131 33248 36337 40096 41528 45824 51968 58184 60262 66496 72674 80192 83056 91648 103936 116368 120524 132992 145348 160384 166112 185981 210917 232736 241048 265984 290696 320768 332224 371962 421834 465472 482096 531968 581392 641536 664448 743924 843668 930944 964192 1162784 1301867 1328896 1487848 1687336 1861888 1928384 2325568 2603734 2657792 2975696 3374672 3723776 3856768 4651136 5207468 5393449 5951392 6749344 7713536 9302272 10414936 10786898 11902784 13498688 15427072 18604544 20829872 21573796 23805568 26997376 37754143 41659744 43147592 47611136 53994752 75508286 83319488 86295184 95222272 107989504 151016572 166638976 172590368 302033144 333277952 345180736 604066288 666555904 690361472 1208132576 1380722944 2416265152 2761445888 4832530304 9665060608 19330121216