Search a number
-
+
1661455461200 = 24528669479137
BaseRepresentation
bin11000001011010110011…
…101100110101101010000
312212211111200120101010212
4120023112131212231100
5204210130044224300
63311132340343252
7231015262255613
oct30132635465520
95784450511125
101661455461200
1159068a326047
1222a0020a4b28
13c08a007ca72
145a5b45ac17a
152d3419d4935
hex182d6766b50

1661455461200 has 60 divisors (see below), whose sum is σ = 3992115528060. Its totient is φ = 664504135680.

The previous prime is 1661455461163. The next prime is 1661455461203. The reversal of 1661455461200 is 21645541661.

It can be written as a sum of positive squares in 6 ways, for example, as 3067830544 + 1658387630656 = 55388^2 + 1287784^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1661455461203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3228032 + ... + 3707168.

It is an arithmetic number, because the mean of its divisors is an integer number (66535258801).

Almost surely, 21661455461200 is an apocalyptic number.

1661455461200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1661455461200 is an abundant number, since it is smaller than the sum of its proper divisors (2330660066860).

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

1661455461200 is a wasteful number, since it uses less digits than its factorization.

1661455461200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487824 (or 487813 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 41.

The spelling of 1661455461200 in words is "one trillion, six hundred sixty-one billion, four hundred fifty-five million, four hundred sixty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 8669 17338 34676 43345 69352 86690 138704 173380 216725 346760 433450 479137 693520 866900 958274 1733800 1916548 2395685 3467600 3833096 4791370 7666192 9582740 11978425 19165480 23956850 38330960 47913700 95827400 191654800 4153638653 8307277306 16614554612 20768193265 33229109224 41536386530 66458218448 83072773060 103840966325 166145546120 207681932650 332291092240 415363865300 830727730600 1661455461200