Search a number
-
+
21203388569088 = 293411101460189
BaseRepresentation
bin1001101001000110011000…
…11100011001011000000000
32210002000122121100202120000
410310203030130121120000
510234344014433202323
6113032411403320000
74315615510053045
oct464431434313000
983060577322500
1021203388569088
116835341092250
122465437b20000
13baa6179215bb
1453436c8191cc
1526b8372bbe43
hex1348cc719600

21203388569088 has 400 divisors, whose sum is σ = 69723567294480. Its totient is φ = 6361638912000.

The previous prime is 21203388569087. The next prime is 21203388569137. The reversal of 21203388569088 is 88096588330212.

21203388569088 is a `hidden beast` number, since 2 + 120 + 3 + 388 + 56 + 9 + 0 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21203388569087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 45845298 + ... + 46305486.

Almost surely, 221203388569088 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 21203388569088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34861783647240).

21203388569088 is an abundant number, since it is smaller than the sum of its proper divisors (48520178725392).

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

21203388569088 is a wasteful number, since it uses less digits than its factorization.

21203388569088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460331 (or 460306 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 21203388569088 in words is "twenty-one trillion, two hundred three billion, three hundred eighty-eight million, five hundred sixty-nine thousand, eighty-eight".