Search a number
-
+
717145430397642 = 232193779852784131
BaseRepresentation
bin1010001100001111010110111…
…0101000011001001011001010
310111001012102201002100121002100
42203003311232220121023022
51222444202320140211032
611021124021304014230
7304025022206251521
oct24303655650311312
93431172632317070
10717145430397642
1119856073a575754
1268523709761376
1324a206a704c81c
14c914049d2d4b8
1557d98e992297c
hex28c3d6ea192ca

717145430397642 has 192 divisors, whose sum is σ = 1701283112755200. Its totient is φ = 217528956328320.

The previous prime is 717145430397581. The next prime is 717145430397647. The reversal of 717145430397642 is 246793034541717.

717145430397642 is a `hidden beast` number, since 7 + 1 + 7 + 1 + 454 + 30 + 3 + 97 + 64 + 2 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 717145430397642.

It is not an unprimeable number, because it can be changed into a prime (717145430397647) 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, 8524109917 + ... + 8524194047.

It is an arithmetic number, because the mean of its divisors is an integer number (8860849545600).

Almost surely, 2717145430397642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 717145430397642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (850641556377600).

717145430397642 is an abundant number, since it is smaller than the sum of its proper divisors (984137682357558).

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

717145430397642 is a wasteful number, since it uses less digits than its factorization.

717145430397642 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92801 (or 92798 counting only the distinct ones).

The product of its (nonzero) digits is 106686720, while the sum is 63.

The spelling of 717145430397642 in words is "seven hundred seventeen trillion, one hundred forty-five billion, four hundred thirty million, three hundred ninety-seven thousand, six hundred forty-two".