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232461872449 = 31210321512
BaseRepresentation
bin1101100001111111001…
…1101010110101000001
3211020000200000122222121
43120133303222311001
512302040214404244
6254442544404241
722536423212362
oct3303763526501
9736020018877
10232461872449
118a64a737464
1239077016681
1318bc8754221
14b373493b69
1560a8296c84
hex361fcead41

232461872449 has 27 divisors (see below), whose sum is σ = 244174220577. Its totient is φ = 221303637000.

The previous prime is 232461872441. The next prime is 232461872497. The reversal of 232461872449 is 944278164232.

The square root of 232461872449 is 482143.

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

It is not a de Polignac number, because 232461872449 - 23 = 232461872441 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 232461872396 and 232461872405.

It is not an unprimeable number, because it can be changed into a prime (232461872441) 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, 1539482524 + ... + 1539482674.

It is an arithmetic number, because the mean of its divisors is an integer number (9043489651).

Almost surely, 2232461872449 is an apocalyptic number.

232461872449 is the 482143-rd square number.

232461872449 is the 241072-nd centered octagonal number.

It is an amenable number.

232461872449 is a deficient number, since it is larger than the sum of its proper divisors (11712348128).

232461872449 is an frugal number, since it uses more digits than its factorization.

232461872449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 285 counting only the distinct ones).

The product of its digits is 4644864, while the sum is 52.

The spelling of 232461872449 in words is "two hundred thirty-two billion, four hundred sixty-one million, eight hundred seventy-two thousand, four hundred forty-nine".

Divisors: 1 31 103 151 961 3193 4681 10609 15553 22801 98983 145111 328879 482143 706831 1601959 2348503 10195249 14946433 21911761 49660729 72803593 241895809 1539482599 2256911383 7498770079 232461872449