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946548030649 = 13267211172
BaseRepresentation
bin11011100011000101010…
…10001011110010111001
310100111012120010001010111
431301202222023302321
5111002012243440044
62002501013144321
7125246225336464
oct15614252136271
93314176101114
10946548030649
11335479761211
1213354502b0a1
136b34a308400
1433b5549c2db
151994dd00b34
hexdc62a8bcb9

946548030649 has 27 divisors (see below), whose sum is σ = 1041418870317. Its totient is φ = 859925255904.

The previous prime is 946548030641. The next prime is 946548030677. The reversal of 946548030649 is 946030845649.

The square root of 946548030649 is 972907.

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 638789373049 + 307758657600 = 799243^2 + 554760^2 .

It is not a de Polignac number, because 946548030649 - 23 = 946548030641 is a prime.

It is a super-2 number, since 2×9465480306492 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 946548030593 and 946548030602.

It is not an unprimeable number, because it can be changed into a prime (946548030641) 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, 847401439 + ... + 847402555.

It is an arithmetic number, because the mean of its divisors is an integer number (38571069271).

Almost surely, 2946548030649 is an apocalyptic number.

946548030649 is the 972907-th square number.

946548030649 is the 486454-th centered octagonal number.

It is an amenable number.

946548030649 is a deficient number, since it is larger than the sum of its proper divisors (94870839668).

946548030649 is an frugal number, since it uses more digits than its factorization.

946548030649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2394 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 58.

The spelling of 946548030649 in words is "nine hundred forty-six billion, five hundred forty-eight million, thirty thousand, six hundred forty-nine".

Divisors: 1 13 67 169 871 1117 4489 11323 14521 58357 74839 188773 758641 972907 1247689 5014213 12647791 16219957 65184769 83595163 210859441 847401997 1086737119 5600875921 14127582547 72811386973 946548030649