Search a number
-
+
20952277164 = 2232713172912973
BaseRepresentation
bin10011100000110110…
…100110000010101100
32000002012101221221100
4103200312212002230
5320402240332124
613343024003100
71341134263110
oct234066460254
960065357840
1020952277164
118982017a45
124088a60490
131c8ba76050
14102a96d740
158296721c9
hex4e0da60ac

20952277164 has 288 divisors, whose sum is σ = 71404744320. Its totient is φ = 5021097984.

The previous prime is 20952277163. The next prime is 20952277169. The reversal of 20952277164 is 46177225902.

It is not an unprimeable number, because it can be changed into a prime (20952277163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1608582 + ... + 1621554.

It is an arithmetic number, because the mean of its divisors is an integer number (247933140).

Almost surely, 220952277164 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 20952277164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35702372160).

20952277164 is an abundant number, since it is smaller than the sum of its proper divisors (50452467156).

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

20952277164 is a wasteful number, since it uses less digits than its factorization.

20952277164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13049 (or 13044 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

It can be divided in two parts, 20952 and 277164, that added together give a square (298116 = 5462).

The spelling of 20952277164 in words is "twenty billion, nine hundred fifty-two million, two hundred seventy-seven thousand, one hundred sixty-four".