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23212603658916 = 2232721147132
BaseRepresentation
bin1010100011100100110101…
…11111101101001010100100
310001012002210021000200022100
411101302122333231022210
511020303403014041131
6121211420051532100
74614024646405200
oct521623277551244
9101162707020270
1023212603658916
11743a456683451
12272a911bba030
13cc4c29374739
145a36d30adb00
152a3c2e2b17e6
hex151c9afed2a4

23212603658916 has 81 divisors (see below), whose sum is σ = 68256703399521. Its totient is φ = 6632114658624.

The previous prime is 23212603658911. The next prime is 23212603658953. The reversal of 23212603658916 is 61985630621232.

It is a happy number.

The square root of 23212603658916 is 4817946.

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

23212603658916 is a `hidden beast` number, since 2 + 3 + 2 + 1 + 26 + 0 + 36 + 589 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 19721326356900 + 3491277302016 = 4440870^2 + 1868496^2 .

It is not an unprimeable number, because it can be changed into a prime (23212603658911) 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, 202296376 + ... + 202411088.

Almost surely, 223212603658916 is an apocalyptic number.

23212603658916 is the 4817946-th square number.

It is an amenable number.

23212603658916 is an abundant number, since it is smaller than the sum of its proper divisors (45044099740605).

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

23212603658916 is an frugal number, since it uses more digits than its factorization.

23212603658916 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229450 (or 114725 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 23212603658916 in words is "twenty-three trillion, two hundred twelve billion, six hundred three million, six hundred fifty-eight thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 114713 229426 344139 458852 688278 802991 1032417 1376556 1605982 2064834 2408973 3211964 4129668 4817946 5620937 7226919 9635892 11241874 14453838 16862811 22483748 28907676 33725622 50588433 67451244 101176866 202353732 13159072369 26318144738 39477217107 52636289476 78954434214 92113506583 118431651321 157908868428 184227013166 236863302642 276340519749 368454026332 473726605284 552681039498 644794546081 829021559247 1105362078996 1289589092162 1658043118494 1934383638243 2579178184324 3316086236988 3868767276486 5803150914729 7737534552972 11606301829458 23212603658916