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19998001872 = 243523921521
BaseRepresentation
bin10010100111111110…
…010100101011010000
31220121200202202100000
4102213332110223100
5311423442024442
613104214330000
71305366132312
oct224776245320
956550682300
1019998001872
118532394882
123a61359900
131b69158304
14d79d257b2
157c09c3d4c
hex4a7f94ad0

19998001872 has 120 divisors (see below), whose sum is σ = 58285019520. Its totient is φ = 6637800960.

The previous prime is 19998001871. The next prime is 19998001879. The reversal of 19998001872 is 27810089991.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19998001871) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 918472 + ... + 939992.

It is an arithmetic number, because the mean of its divisors is an integer number (485708496).

Almost surely, 219998001872 is an apocalyptic number.

19998001872 is a gapful number since it is divisible by the number (12) 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 19998001872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29142509760).

19998001872 is an abundant number, since it is smaller than the sum of its proper divisors (38287017648).

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

19998001872 is a wasteful number, since it uses less digits than its factorization.

19998001872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21783 (or 21765 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 19998001872 in words is "nineteen billion, nine hundred ninety-eight million, one thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 239 243 324 432 478 486 648 717 956 972 1296 1434 1912 1944 2151 2868 3824 3888 4302 5736 6453 8604 11472 12906 17208 19359 21521 25812 34416 38718 43042 51624 58077 64563 77436 86084 103248 116154 129126 154872 172168 193689 232308 258252 309744 344336 387378 464616 516504 581067 774756 929232 1033008 1162134 1549512 1743201 2324268 3099024 3486402 4648536 5143519 5229603 6972804 9297072 10287038 10459206 13945608 15430557 20574076 20918412 27891216 30861114 41148152 41836824 46291671 61722228 82296304 83673648 92583342 123444456 138875013 185166684 246888912 277750026 370333368 416625039 555500052 740666736 833250078 1111000104 1249875117 1666500156 2222000208 2499750234 3333000312 4999500468 6666000624 9999000936 19998001872