Search a number
-
+
21630221172644 = 2273179725573739
BaseRepresentation
bin1001110101100001011011…
…01001100011111110100100
32211120211101022012121211112
410322300231221203332210
510313342143110011034
6114000441511324152
74361506021244000
oct472605551437644
984524338177745
1021630221172644
11698a363a53867
1225140b9380658
13c0b94b360246
1454aca04c7700
152779b96d17ce
hex13ac2da63fa4

21630221172644 has 192 divisors, whose sum is σ = 47252931264000. Its totient is φ = 8629163311104.

The previous prime is 21630221172641. The next prime is 21630221172647. The reversal of 21630221172644 is 44627112203612.

It is an interprime number because it is at equal distance from previous prime (21630221172641) and next prime (21630221172647).

It is not an unprimeable number, because it can be changed into a prime (21630221172641) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5785026527 + ... + 5785030265.

It is an arithmetic number, because the mean of its divisors is an integer number (246109017000).

Almost surely, 221630221172644 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21630221172644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23626465632000).

21630221172644 is an abundant number, since it is smaller than the sum of its proper divisors (25622710091356).

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

21630221172644 is a wasteful number, since it uses less digits than its factorization.

21630221172644 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6435 (or 6419 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 41.

The spelling of 21630221172644 in words is "twenty-one trillion, six hundred thirty billion, two hundred twenty-one million, one hundred seventy-two thousand, six hundred forty-four".