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23332213497649 = 7271297192
BaseRepresentation
bin1010100111000011101000…
…10011000001111100110001
310001121112112002001001011111
411103201310103001330301
511024233333123411044
6121342400525513321
74625461000304200
oct523416423017461
9101545462031144
1023332213497649
117486155282641
122749b33112841
1310032ab783844
145a93dc693237
152a6dced98b34
hex1538744c1f31

23332213497649 has 27 divisors (see below), whose sum is σ = 27532046859321. Its totient is φ = 19715334775080.

The previous prime is 23332213497647. The next prime is 23332213497679. The reversal of 23332213497649 is 94679431223332.

The square root of 23332213497649 is 4830343.

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

It is not a de Polignac number, because 23332213497649 - 21 = 23332213497647 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23332213497593 and 23332213497602.

It is not an unprimeable number, because it can be changed into a prime (23332213497647) 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, 2400675612 + ... + 2400685330.

Almost surely, 223332213497649 is an apocalyptic number.

23332213497649 is the 4830343-rd square number.

23332213497649 is the 2415172-nd centered octagonal number.

It is an amenable number.

23332213497649 is a deficient number, since it is larger than the sum of its proper divisors (4199833361672).

23332213497649 is an frugal number, since it uses more digits than its factorization.

23332213497649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19594 (or 9797 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 58.

The spelling of 23332213497649 in words is "twenty-three trillion, three hundred thirty-two billion, two hundred thirteen million, four hundred ninety-seven thousand, six hundred forty-nine".

Divisors: 1 7 49 71 497 3479 5041 9719 35287 68033 247009 476231 690049 4830343 33812401 48993479 94458961 342954353 661212727 2400680471 4628489089 6706586231 46946103617 328622725319 476167622401 3333173356807 23332213497649