Search a number
-
+
268083992152 = 231011272612497
BaseRepresentation
bin1111100110101100001…
…1010001011001011000
3221121222020022211201101
43321223003101121120
513343014000222102
6323053414201144
725240241222644
oct3715303213130
9847866284641
10268083992152
11a376a474209
1243b589531b4
131c384819972
14cd92463c24
156e90763e87
hex3e6b0d1658

268083992152 has 32 divisors (see below), whose sum is σ = 511631608320. Its totient is φ = 131669798400.

The previous prime is 268083992129. The next prime is 268083992153. The reversal of 268083992152 is 251299380862.

268083992152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2680839921522 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 268083992093 and 268083992102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (268083992153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1203633 + ... + 1408864.

It is an arithmetic number, because the mean of its divisors is an integer number (15988487760).

Almost surely, 2268083992152 is an apocalyptic number.

It is an amenable number.

268083992152 is a deficient number, since it is larger than the sum of its proper divisors (243547616168).

268083992152 is a wasteful number, since it uses less digits than its factorization.

268083992152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2612731 (or 2612727 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 55.

The spelling of 268083992152 in words is "two hundred sixty-eight billion, eighty-three million, nine hundred ninety-two thousand, one hundred fifty-two".

Divisors: 1 2 4 8 101 127 202 254 404 508 808 1016 12827 25654 51308 102616 2612497 5224994 10449988 20899976 263862197 331787119 527724394 663574238 1055448788 1327148476 2110897576 2654296952 33510499019 67020998038 134041996076 268083992152