Search a number
-
+
268762564044 = 223213982958427
BaseRepresentation
bin1111101001001101111…
…1110100010111001100
3221200201112011212100200
43322103133310113030
513400411204022134
6323245014253500
725263121046442
oct3722337642714
9850645155320
10268762564044
11a3a88508327
1244108057290
131c4622958b0
14d018620b92
156ed0102499
hex3e937f45cc

268762564044 has 72 divisors (see below), whose sum is σ = 731718383760. Its totient is φ = 82686344832.

The previous prime is 268762564043. The next prime is 268762564097. The reversal of 268762564044 is 440465267862.

It is a happy number.

268762564044 is a `hidden beast` number, since 2 + 6 + 8 + 7 + 625 + 6 + 4 + 0 + 4 + 4 = 666.

268762564044 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (268762564043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4570759 + ... + 4629185.

It is an arithmetic number, because the mean of its divisors is an integer number (10162755330).

Almost surely, 2268762564044 is an apocalyptic number.

It is an amenable number.

268762564044 is an abundant number, since it is smaller than the sum of its proper divisors (462955819716).

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

268762564044 is a wasteful number, since it uses less digits than its factorization.

268762564044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68279 (or 68274 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 54.

The spelling of 268762564044 in words is "two hundred sixty-eight billion, seven hundred sixty-two million, five hundred sixty-four thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 9829 19658 29487 39316 58427 58974 88461 116854 117948 127777 175281 176922 233708 255554 350562 353844 383331 511108 525843 701124 759551 766662 1051686 1149993 1519102 1533324 2103372 2278653 2299986 3038204 4557306 4599972 6835959 9114612 13671918 27343836 574278983 1148557966 1722836949 2297115932 3445673898 5168510847 6891347796 7465626779 10337021694 14931253558 20674043388 22396880337 29862507116 44793760674 67190641011 89587521348 134381282022 268762564044