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19903002084 = 22327233592
BaseRepresentation
bin10010100010010011…
…111011010111100100
31220101002000021010100
4102202103323113210
5311230132031314
613050542224100
71303133504100
oct224223732744
956332007110
1019903002084
1184937a9059
123a35585030
131b52575714
14d6b476900
157b74aac09
hex4a24fb5e4

19903002084 has 81 divisors (see below), whose sum is σ = 58541732067. Its totient is φ = 5684879088.

The previous prime is 19903002071. The next prime is 19903002107. The reversal of 19903002084 is 48020030991.

The square root of 19903002084 is 141078.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×199030020842 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5923597 + ... + 5926955.

Almost surely, 219903002084 is an apocalyptic number.

19903002084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

19903002084 is the 141078-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19903002084

19903002084 is an abundant number, since it is smaller than the sum of its proper divisors (38638729983).

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

19903002084 is an equidigital number, since it uses as much as digits as its factorization.

19903002084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6742 (or 3371 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

Multiplying 19903002084 by its sum of digits (36), we get a square (716508075024 = 8464682).

19903002084 divided by its sum of digits (36) gives a square (552861169 = 235132).

The spelling of 19903002084 in words is "nineteen billion, nine hundred three million, two thousand, eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 3359 6718 10077 13436 20154 23513 30231 40308 47026 60462 70539 94052 120924 141078 164591 211617 282156 329182 423234 493773 658364 846468 987546 1481319 1975092 2962638 5925276 11282881 22565762 33848643 45131524 67697286 78980167 101545929 135394572 157960334 203091858 236940501 315920668 406183716 473881002 552861169 710821503 947762004 1105722338 1421643006 1658583507 2211444676 2843286012 3317167014 4975750521 6634334028 9951501042 19903002084