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19995578080 = 2552334915569
BaseRepresentation
bin10010100111110101…
…000100111011100000
31220121112012121111221
4102213311010323200
5311422331444310
613104050344424
71305336416002
oct224765047340
956545177457
1019995578080
118530a89845
123a6058b114
131b687ba00a
14d79894372
157c0695ada
hex4a7d44ee0

19995578080 has 96 divisors (see below), whose sum is σ = 49437864000. Its totient is φ = 7628070912.

The previous prime is 19995578063. The next prime is 19995578111. The reversal of 19995578080 is 8087559991.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1276536 + ... + 1292104.

It is an arithmetic number, because the mean of its divisors is an integer number (514977750).

Almost surely, 219995578080 is an apocalyptic number.

19995578080 is a gapful number since it is divisible by the number (10) 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 19995578080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24718932000).

19995578080 is an abundant number, since it is smaller than the sum of its proper divisors (29442285920).

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

19995578080 is a wasteful number, since it uses less digits than its factorization.

19995578080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15956 (or 15948 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 61.

The spelling of 19995578080 in words is "nineteen billion, nine hundred ninety-five million, five hundred seventy-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 349 368 460 698 736 920 1396 1745 1840 2792 3490 3680 5584 6980 8027 11168 13960 15569 16054 27920 31138 32108 40135 55840 62276 64216 77845 80270 124552 128432 155690 160540 249104 256864 311380 321080 358087 498208 622760 642160 716174 1245520 1284320 1432348 1790435 2491040 2864696 3580870 5433581 5729392 7161740 10867162 11458784 14323480 21734324 27167905 28646960 43468648 54335810 57293920 86937296 108671620 124972363 173874592 217343240 249944726 434686480 499889452 624861815 869372960 999778904 1249723630 1999557808 2499447260 3999115616 4998894520 9997789040 19995578080