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3000248818819 = 72417012130391
BaseRepresentation
bin101011101010001100110…
…000111101110010000011
3101121211011111110120200221
4223222030300331302003
5343124002144200234
610214143440323511
7426521651116300
oct53521460756203
911554144416627
103000248818819
11a57442272a6a
12405575313597
13189bcb24aa85
14a52d9d860a7
155309b4e2eb4
hex2ba8cc3dc83

3000248818819 has 24 divisors (see below), whose sum is σ = 3580311230496. Its totient is φ = 2505338640000.

The previous prime is 3000248818759. The next prime is 3000248818859. The reversal of 3000248818819 is 9188188420003.

It is a happy number.

3000248818819 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 3000248818819 - 27 = 3000248818691 is a prime.

It is a super-2 number, since 2×30002488188192 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3000248818859) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 343114 + ... + 2473504.

It is an arithmetic number, because the mean of its divisors is an integer number (149179634604).

Almost surely, 23000248818819 is an apocalyptic number.

3000248818819 is a deficient number, since it is larger than the sum of its proper divisors (580062411677).

3000248818819 is a wasteful number, since it uses less digits than its factorization.

3000248818819 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2131147 (or 2131140 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 52.

The spelling of 3000248818819 in words is "three trillion, two hundred forty-eight million, eight hundred eighteen thousand, eight hundred nineteen".

Divisors: 1 7 41 49 287 701 2009 4907 28741 34349 201187 1408309 2130391 14912737 87346031 104389159 611422217 1493404091 4279955519 10453828637 61229567731 73176800459 428606974117 3000248818819