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16923103612900 = 225297242412
BaseRepresentation
bin1111011001000011011110…
…0101000100111111100100
32012220211111012002000201121
43312100313211010333210
54204232004011103100
655554211054103324
73364440166166152
oct366206745047744
965824435060647
1016923103612900
115435058894621
121a939891aab44
13959ac3640684
144271228843d2
151e531e88251a
hexf6437944fe4

16923103612900 has 81 divisors (see below), whose sum is σ = 37114378165137. Its totient is φ = 6697875763200.

The previous prime is 16923103612897. The next prime is 16923103612901. The reversal of 16923103612900 is 921630132961.

It is a happy number.

The square root of 16923103612900 is 4113770.

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

It can be written as a sum of positive squares in 13 ways, for example, as 1633064191396 + 15290039421504 = 1277914^2 + 3910248^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16923103612901) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 3990354780 + ... + 3990359020.

Almost surely, 216923103612900 is an apocalyptic number.

16923103612900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16923103612900 is the 4113770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16923103612900

16923103612900 is an abundant number, since it is smaller than the sum of its proper divisors (20191274552237).

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

16923103612900 is an frugal number, since it uses more digits than its factorization.

16923103612900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8690 (or 4345 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 43.

The spelling of 16923103612900 in words is "sixteen trillion, nine hundred twenty-three billion, one hundred three million, six hundred twelve thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1940 2425 4241 4850 8482 9409 9700 16964 18818 21205 37636 42410 47045 84820 94090 106025 188180 212050 235225 411377 424100 470450 822754 940900 1645508 2056885 4113770 8227540 10284425 17986081 20568850 35972162 39903569 41137700 71944324 79807138 89930405 159614276 179860810 199517845 359721620 399035690 449652025 798071380 899304050 997589225 1744649857 1798608100 1995178450 3489299714 3990356900 6978599428 8723249285 17446498570 34892997140 43616246425 87232492850 169231036129 174464985700 338462072258 676924144516 846155180645 1692310361290 3384620722580 4230775903225 8461551806450 16923103612900