Search a number
-
+
20970202176 = 2632711253811
BaseRepresentation
bin10011100001111010…
…111110010001000000
32000010110010122102200
4103201322332101000
5320421332432201
613344504113200
71341442530450
oct234172762100
960113118380
1020970202176
118991150300
124092a65800
131c926b0b71
14102d0b7d60
1582b013386
hex4e1ebe440

20970202176 has 504 divisors, whose sum is σ = 77026203072. Its totient is φ = 5337446400.

The previous prime is 20970202171. The next prime is 20970202181. The reversal of 20970202176 is 67120207902.

It is an interprime number because it is at equal distance from previous prime (20970202171) and next prime (20970202181).

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20970202176.

It is not an unprimeable number, because it can be changed into a prime (20970202171) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25856811 + ... + 25857621.

It is an arithmetic number, because the mean of its divisors is an integer number (152829768).

Almost surely, 220970202176 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 20970202176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38513101536).

20970202176 is an abundant number, since it is smaller than the sum of its proper divisors (56056000896).

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

20970202176 is a wasteful number, since it uses less digits than its factorization.

20970202176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 887 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The spelling of 20970202176 in words is "twenty billion, nine hundred seventy million, two hundred two thousand, one hundred seventy-six".