Search a number
-
+
129067345458 = 23419371133303
BaseRepresentation
bin111100000110100000…
…0110110011000110010
3110100010220222111010000
41320031000312120302
54103312220023313
6135143121050430
712216260222622
oct1701500663062
9410126874100
10129067345458
114a812173a57
1221020486a16
13c22b8b6b3c
14636568c882
153556036673
hex1e0d036632

129067345458 has 80 divisors (see below), whose sum is σ = 312655907520. Its totient is φ = 39656503584.

The previous prime is 129067345453. The next prime is 129067345487. The reversal of 129067345458 is 854543760921.

It is a happy number.

129067345458 is a `hidden beast` number, since 1 + 2 + 9 + 0 + 67 + 34 + 545 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (129067345453) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 452766 + ... + 680537.

It is an arithmetic number, because the mean of its divisors is an integer number (3908198844).

It is a 1-persistent number, because it is pandigital, but 2⋅129067345458 = 258134690916 is not.

Almost surely, 2129067345458 is an apocalyptic number.

129067345458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

129067345458 is an abundant number, since it is smaller than the sum of its proper divisors (183588562062).

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

129067345458 is a wasteful number, since it uses less digits than its factorization.

129067345458 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1133373 (or 1133364 counting only the distinct ones).

The product of its (nonzero) digits is 7257600, while the sum is 54.

The spelling of 129067345458 in words is "one hundred twenty-nine billion, sixty-seven million, three hundred forty-five thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 9 18 19 27 37 38 54 57 74 81 111 114 162 171 222 333 342 513 666 703 999 1026 1406 1539 1998 2109 2997 3078 4218 5994 6327 12654 18981 37962 56943 113886 1133303 2266606 3399909 6799818 10199727 20399454 21532757 30599181 41932211 43065514 61198362 64598271 83864422 91797543 125796633 129196542 183595086 193794813 251593266 377389899 387589626 581384439 754779798 796712009 1132169697 1162768878 1593424018 1744153317 2264339394 2390136027 3396509091 3488306634 4780272054 6793018182 7170408081 14340816162 21511224243 43022448486 64533672729 129067345458