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19953427968 = 29325997229
BaseRepresentation
bin10010100101010100…
…010010011000000000
31220111120220011102200
4102211110102120000
5311331034143333
613055543113200
71304315224245
oct224524223000
956446804380
1019953427968
11850a20a841
123a4a442800
131b5cb4c916
14d740415cc
157bbb1bc13
hex4a5512600

19953427968 has 120 divisors (see below), whose sum is σ = 57691062000. Its totient is φ = 6639120384.

The previous prime is 19953427943. The next prime is 19953428023. The reversal of 19953427968 is 86972435991.

19953427968 is a `hidden beast` number, since 1 + 9 + 9 + 534 + 2 + 7 + 96 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2756578 + ... + 2763806.

It is an arithmetic number, because the mean of its divisors is an integer number (480758850).

Almost surely, 219953427968 is an apocalyptic number.

19953427968 is a gapful number since it is divisible by the number (18) 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 19953427968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28845531000).

19953427968 is an abundant number, since it is smaller than the sum of its proper divisors (37737634032).

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

19953427968 is an equidigital number, since it uses as much as digits as its factorization.

19953427968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7852 (or 7833 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 63.

The spelling of 19953427968 in words is "nineteen billion, nine hundred fifty-three million, four hundred twenty-seven thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 599 768 1152 1198 1536 1797 2304 2396 3594 4608 4792 5391 7188 7229 9584 10782 14376 14458 19168 21564 21687 28752 28916 38336 43128 43374 57504 57832 65061 76672 86256 86748 115008 115664 130122 153344 172512 173496 230016 231328 260244 306688 345024 346992 460032 462656 520488 690048 693984 920064 925312 1040976 1380096 1387968 1850624 2081952 2760192 2775936 3701248 4163904 4330171 5551872 8327808 8660342 11103744 12990513 16655616 17320684 25981026 33311232 34641368 38971539 51962052 69282736 77943078 103924104 138565472 155886156 207848208 277130944 311772312 415696416 554261888 623544624 831392832 1108523776 1247089248 1662785664 2217047552 2494178496 3325571328 4988356992 6651142656 9976713984 19953427968