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3022234486752 = 2531323713534201
BaseRepresentation
bin101011111110101011001…
…101101000011111100000
3101200220220201101020021110
4223332223031220133200
5344004014012034002
610232221221423320
7431230534163445
oct53765315503740
911626821336243
103022234486752
11a657a463a768
1240989026ab40
1318bcc3122440
14a63c3c759cc
155393673ee6c
hex2bfab3687e0

3022234486752 has 384 divisors, whose sum is σ = 9068419971072. Its totient is φ = 874266624000.

The previous prime is 3022234486727. The next prime is 3022234486771. The reversal of 3022234486752 is 2576844322203.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 719406252 + ... + 719410452.

It is an arithmetic number, because the mean of its divisors is an integer number (23615677008).

Almost surely, 23022234486752 is an apocalyptic number.

3022234486752 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3022234486752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4534209985536).

3022234486752 is an abundant number, since it is smaller than the sum of its proper divisors (6046185484320).

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

3022234486752 is a wasteful number, since it uses less digits than its factorization.

3022234486752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4674 (or 4666 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 48.

The spelling of 3022234486752 in words is "three trillion, twenty-two billion, two hundred thirty-four million, four hundred eighty-six thousand, seven hundred fifty-two".