Search a number
-
+
716921022272 = 26713417014283
BaseRepresentation
bin10100110111010111101…
…00101010011101000000
32112112111110101101120112
422123223310222131000
543221223240203042
61305203213330452
7102536654066660
oct12335364523500
92475443341515
10716921022272
11257054255124
12b6b3b496a28
13527b3c9a360
14269b07061a0
15139ae87d982
hexa6ebd2a740

716921022272 has 224 divisors, whose sum is σ = 1796625702144. Its totient is φ = 276240384000.

The previous prime is 716921022241. The next prime is 716921022281. The reversal of 716921022272 is 272220129617.

716921022272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (41).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 167385443 + ... + 167389725.

It is an arithmetic number, because the mean of its divisors is an integer number (8020650456).

Almost surely, 2716921022272 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 716921022272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (898312851072).

716921022272 is an abundant number, since it is smaller than the sum of its proper divisors (1079704679872).

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

716921022272 is a wasteful number, since it uses less digits than its factorization.

716921022272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5057 (or 5047 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 41.

The spelling of 716921022272 in words is "seven hundred sixteen billion, nine hundred twenty-one million, twenty-two thousand, two hundred seventy-two".