Search a number
-
+
79125189264 = 243211221312
BaseRepresentation
bin100100110110000111…
…0101001001010010000
321120020101000002021100
41021230032221022100
52244022022024024
6100203303224400
75500540003662
oct1115416511220
9246211002240
1079125189264
1130614119900
1213402a48100
1375ccb1a824
143b888d8532
1520d17ba7c9
hex126c3a9290

79125189264 has 135 divisors (see below), whose sum is σ = 243515961507. Its totient is φ = 23966078400.

The previous prime is 79125189259. The next prime is 79125189313. The reversal of 79125189264 is 46298152197.

It is a happy number.

The square root of 79125189264 is 281292.

It is a perfect power (a square), and thus also a powerful number.

It is a self number, because there is not a number n which added to its sum of digits gives 79125189264.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 37129479 + ... + 37131609.

Almost surely, 279125189264 is an apocalyptic number.

79125189264 is the 281292-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79125189264

79125189264 is an abundant number, since it is smaller than the sum of its proper divisors (164390772243).

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

79125189264 is a wasteful number, since it uses less digits than its factorization.

79125189264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4298 (or 2147 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 79125189264 in words is "seventy-nine billion, one hundred twenty-five million, one hundred eighty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2131 2178 2904 4262 4356 5808 6393 8524 8712 12786 17048 17424 19179 23441 25572 34096 38358 46882 51144 70323 76716 93764 102288 140646 153432 187528 210969 257851 281292 306864 375056 421938 515702 562584 773553 843876 1031404 1125168 1547106 1687752 2062808 2320659 3094212 3375504 4125616 4541161 4641318 6188424 9082322 9282636 12376848 13623483 18164644 18565272 27246966 36329288 37130544 40870449 49952771 54493932 72658576 81740898 99905542 108987864 149858313 163481796 199811084 217975728 299716626 326963592 399622168 449574939 549480481 599433252 653927184 799244336 899149878 1098960962 1198866504 1648441443 1798299756 2197921924 2397733008 3296882886 3596599512 4395843848 4945324329 6593765772 7193199024 8791687696 9890648658 13187531544 19781297316 26375063088 39562594632 79125189264