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953343290449 = 11237223992
BaseRepresentation
bin11011101111101111011…
…00000010110001010001
310101010202010121000011101
431313313230002301101
5111104421340243244
62005543155144401
7125606510156524
oct15676754026121
93333663530141
10953343290449
11338346485500
121349208a5101
136bb910875b4
14341dbb60bbb
1519bea6760d4
hexddf7b02c51

953343290449 has 27 divisors (see below), whose sum is σ = 1077425632731. Its totient is φ = 842900549040.

The previous prime is 953343290437. The next prime is 953343290453. The reversal of 953343290449 is 944092343359.

The square root of 953343290449 is 976393.

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

It can be written as a sum of positive squares in only one way, i.e., 853064668225 + 100278622224 = 923615^2 + 316668^2 .

It is not a de Polignac number, because 953343290449 - 29 = 953343289937 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 953343290449.

It is not an unprimeable number, because it can be changed into a prime (953343290429) 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, 397390752 + ... + 397393150.

Almost surely, 2953343290449 is an apocalyptic number.

953343290449 is the 976393-rd square number.

953343290449 is the 488197-th centered octagonal number.

It is an amenable number.

953343290449 is a deficient number, since it is larger than the sum of its proper divisors (124082342282).

953343290449 is an frugal number, since it uses more digits than its factorization.

953343290449 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4894 (or 2447 counting only the distinct ones).

The product of its (nonzero) digits is 12597120, while the sum is 55.

The spelling of 953343290449 in words is "nine hundred fifty-three billion, three hundred forty-three million, two hundred ninety thousand, four hundred forty-nine".

Divisors: 1 11 37 121 407 1369 2399 4477 15059 26389 88763 165649 290279 976393 3284231 5755201 10740323 36126541 63307211 212942437 397391951 696379321 2342366807 7878870169 25766034877 86667571859 953343290449