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1456742716 = 22112131713619
BaseRepresentation
bin101011011010100…
…0010000100111100
310202112010012022221
41112311002010330
510440411231331
6400315015124
751046052212
oct12665020474
93675105287
101456742716
11688325400
12347a3a4a4
131a2a57c50
14db682cb2
1587d52711
hex56d4213c

1456742716 has 72 divisors (see below), whose sum is σ = 3195415440. Its totient is φ = 575224320.

The previous prime is 1456742659. The next prime is 1456742717. The reversal of 1456742716 is 6172476541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1456742717) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 100155 + ... + 113773.

It is an arithmetic number, because the mean of its divisors is an integer number (44380770).

Almost surely, 21456742716 is an apocalyptic number.

It is an amenable number.

1456742716 is an abundant number, since it is smaller than the sum of its proper divisors (1738672724).

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

1456742716 is a wasteful number, since it uses less digits than its factorization.

1456742716 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13675 (or 13662 counting only the distinct ones).

The product of its digits is 282240, while the sum is 43.

The square root of 1456742716 is about 38167.2990398849. The cubic root of 1456742716 is about 1133.6029090760.

The spelling of 1456742716 in words is "one billion, four hundred fifty-six million, seven hundred forty-two thousand, seven hundred sixteen".

Divisors: 1 2 4 11 13 17 22 26 34 44 52 68 121 143 187 221 242 286 374 442 484 572 748 884 1573 2057 2431 3146 4114 4862 6292 8228 9724 13619 26741 27238 53482 54476 106964 149809 177047 231523 299618 354094 463046 599236 708188 926092 1647899 1947517 2546753 3009799 3295798 3895034 5093506 6019598 6591596 7790068 10187012 12039196 21422687 28014283 33107789 42845374 56028566 66215578 85690748 112057132 132431156 364185679 728371358 1456742716