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949708720900 = 2252974532
BaseRepresentation
bin11011101000111110000…
…11010000101100000100
310100210100211111202001101
431310133003100230010
5111030000413032100
62004142401505444
7125420444635042
oct15643703205404
93323324452041
10949708720900
113368508a5615
12134087642284
136b732092624
1433d75173392
1519a8653686a
hexdd1f0d0b04

949708720900 has 27 divisors (see below), whose sum is σ = 2060889071871. Its totient is φ = 379879590240.

The previous prime is 949708720837. The next prime is 949708720901. The reversal of 949708720900 is 9027807949.

The square root of 949708720900 is 974530.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1406700036 + 948302020864 = 37506^2 + 973808^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (949708720901) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 9696574 + ... + 9794026.

Almost surely, 2949708720900 is an apocalyptic number.

949708720900 is the 974530-th square number.

It is an amenable number.

949708720900 is an abundant number, since it is smaller than the sum of its proper divisors (1111180350971).

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

949708720900 is an frugal number, since it uses more digits than its factorization.

949708720900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194920 (or 97460 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 55.

The spelling of 949708720900 in words is "nine hundred forty-nine billion, seven hundred eight million, seven hundred twenty thousand, nine hundred".

Divisors: 1 2 4 5 10 20 25 50 100 97453 194906 389812 487265 974530 1949060 2436325 4872650 9745300 9497087209 18994174418 37988348836 47485436045 94970872090 189941744180 237427180225 474854360450 949708720900