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23472384849 = 342925872
BaseRepresentation
bin10101110111000100…
…000010101101010001
32020120211102200210000
4111313010002231101
5341032412303344
614441050400213
71460444656614
oct256704025521
966524380700
1023472384849
119a55605171
124670a30069
1322a0bc5924
1411c953617b
15925a20a69
hex577102b51

23472384849 has 45 divisors (see below), whose sum is σ = 36376441387. Its totient is φ = 15082922736.

The previous prime is 23472384841. The next prime is 23472384851. The reversal of 23472384849 is 94848327432.

The square root of 23472384849 is 153207.

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

It can be written as a sum of positive squares in only one way, i.e., 12308349249 + 11164035600 = 110943^2 + 105660^2 .

It is not a de Polignac number, because 23472384849 - 23 = 23472384841 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 23472384795 and 23472384804.

It is not an unprimeable number, because it can be changed into a prime (23472384841) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 39986734 + ... + 39987320.

Almost surely, 223472384849 is an apocalyptic number.

23472384849 is a gapful number since it is divisible by the number (29) formed by its first and last digit.

23472384849 is the 153207-th square number.

23472384849 is the 76604-th centered octagonal number.

It is an amenable number.

23472384849 is a deficient number, since it is larger than the sum of its proper divisors (12904056538).

23472384849 is an frugal number, since it uses more digits than its factorization.

23472384849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1244 (or 619 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 54.

It can be divided in two parts, 23472 and 384849, that added together give a square (408321 = 6392).

The spelling of 23472384849 in words is "twenty-three billion, four hundred seventy-two million, three hundred eighty-four thousand, eight hundred forty-nine".

Divisors: 1 3 9 27 29 81 87 261 587 783 841 1761 2349 2523 5283 7569 15849 17023 22707 47547 51069 68121 153207 344569 459621 493667 1033707 1378863 1481001 3101121 4443003 9303363 9992501 13329009 27910089 29977503 39987027 89932509 269797527 289782529 809392581 869347587 2608042761 7824128283 23472384849