Search a number
-
+
21348571950 = 233521719173283
BaseRepresentation
bin10011111000011110…
…010101101100101110
32001002211002211012000
4103320132111230232
5322210213300300
613450221553130
71354015603356
oct237036255456
961084084160
1021348571950
1190657920a2
1241797157a6
132022bbacc4
14106744bb66
1584e352c00
hex4f8795b2e

21348571950 has 384 divisors, whose sum is σ = 66177907200. Its totient is φ = 5028894720.

The previous prime is 21348571939. The next prime is 21348571961. The reversal of 21348571950 is 5917584312.

21348571950 is a `hidden beast` number, since 2 + 13 + 485 + 71 + 95 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21348571939) and next prime (21348571961).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 21348571896 and 21348571905.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 75436509 + ... + 75436791.

It is an arithmetic number, because the mean of its divisors is an integer number (172338300).

Almost surely, 221348571950 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21348571950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33088953600).

21348571950 is an abundant number, since it is smaller than the sum of its proper divisors (44829335250).

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

21348571950 is a wasteful number, since it uses less digits than its factorization.

21348571950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 21348571950 in words is "twenty-one billion, three hundred forty-eight million, five hundred seventy-one thousand, nine hundred fifty".