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2350184046961 = 41213922692
BaseRepresentation
bin100010001100110001111…
…000101010000101110001
322022200020100220121022011
4202030301320222011301
5302001134104000321
64555354252242521
7331536515535262
oct42146170520561
98280210817264
102350184046961
11826786697363
1231b593a70441
131408102c290a
1481a6c950969
1541201288ae1
hex22331e2a171

2350184046961 has 27 divisors (see below), whose sum is σ = 2435412068193. Its totient is φ = 2267904740160.

The previous prime is 2350184046871. The next prime is 2350184046967. The reversal of 2350184046961 is 1696404810532.

The square root of 2350184046961 is 1533031.

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 1847644836961 + 502539210000 = 1359281^2 + 708900^2 .

It is not a de Polignac number, because 2350184046961 - 217 = 2350183915889 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2350184046967) 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, 8736743535 + ... + 8736743803.

Almost surely, 22350184046961 is an apocalyptic number.

2350184046961 is the 1533031-st square number.

2350184046961 is the 766516-th centered octagonal number.

It is an amenable number.

2350184046961 is a deficient number, since it is larger than the sum of its proper divisors (85228021232).

2350184046961 is an frugal number, since it uses more digits than its factorization.

2350184046961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 898 (or 449 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 2350184046961 by its sum of digits (49), we get a square (115159018301089 = 107312172).

The spelling of 2350184046961 in words is "two trillion, three hundred fifty billion, one hundred eighty-four million, forty-six thousand, nine hundred sixty-one".

Divisors: 1 41 139 269 1681 5699 11029 19321 37391 72361 233659 452189 792161 1533031 2966801 5197349 10058179 32478601 62854271 121638841 213091309 412385339 1398086881 8736743669 16907798899 57321562121 2350184046961