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2016030816900 = 223252192472532
BaseRepresentation
bin11101010101100100110…
…011001111101010000100
321010201201122122201121100
4131111210303033222010
5231012312342120100
64142052441020100
7265440060125412
oct35254463175204
97121648581540
102016030816900
11707aa29248a1
12286878784630
1311815981a349
146d80d9642b2
153769555e400
hex1d564ccfa84

2016030816900 has 729 divisors, whose sum is σ = 6945139428591. Its totient is φ = 489071381760.

The previous prime is 2016030816887. The next prime is 2016030816911. The reversal of 2016030816900 is 96180306102.

The square root of 2016030816900 is 1419870.

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

2016030816900 is a `hidden beast` number, since 201 + 60 + 308 + 1 + 6 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 15186618756 + 2000844198144 = 123234^2 + 1414512^2 .

It is a super-2 number, since 2×20160308169002 (a number of 25 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 242 ways as a sum of consecutive naturals, for example, 38038317274 + ... + 38038317326.

Almost surely, 22016030816900 is an apocalyptic number.

2016030816900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

2016030816900 is the 1419870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2016030816900

2016030816900 is an abundant number, since it is smaller than the sum of its proper divisors (4929108611691).

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

2016030816900 is a wasteful number, since it uses less digits than its factorization.

2016030816900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 129 counting only the distinct ones).

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

Multiplying 2016030816900 by its sum of digits (36), we get a square (72577109408400 = 85192202).

2016030816900 divided by its sum of digits (36) gives a square (56000856025 = 2366452).

The spelling of 2016030816900 in words is "two trillion, sixteen billion, thirty million, eight hundred sixteen thousand, nine hundred".