Search a number
-
+
2134691568 = 243241547661
BaseRepresentation
bin111111100111100…
…1100111011110000
312111202210120022200
41333033030323300
513332440112233
6551453503200
7103620402402
oct17717147360
95452716280
102134691568
119a5a83409
124b6aa1b00
13280346409
1416371ab72
15c761b313
hex7f3ccef0

2134691568 has 120 divisors (see below), whose sum is σ = 6140346576. Its totient is φ = 691891200.

The previous prime is 2134691563. The next prime is 2134691593. The reversal of 2134691568 is 8651964312.

2134691568 is a `hidden beast` number, since 21 + 3 + 4 + 69 + 1 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2134691563) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3229158 + ... + 3229818.

Almost surely, 22134691568 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2134691568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3070173288).

2134691568 is an abundant number, since it is smaller than the sum of its proper divisors (4005655008).

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

2134691568 is a wasteful number, since it uses less digits than its factorization.

2134691568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1263 (or 1254 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 2134691568 is about 46202.7225171851. The cubic root of 2134691568 is about 1287.5923217551.

The spelling of 2134691568 in words is "two billion, one hundred thirty-four million, six hundred ninety-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 41 48 72 82 123 144 164 246 328 369 492 547 656 661 738 984 1094 1322 1476 1641 1968 1983 2188 2644 2952 3282 3966 4376 4923 5288 5904 5949 6564 7932 8752 9846 10576 11898 13128 15864 19692 22427 23796 26256 27101 31728 39384 44854 47592 54202 67281 78768 81303 89708 95184 108404 134562 162606 179416 201843 216808 243909 269124 325212 358832 361567 403686 433616 487818 538248 650424 723134 807372 975636 1076496 1084701 1300848 1446268 1614744 1951272 2169402 2892536 3229488 3254103 3902544 4338804 5785072 6508206 8677608 13016412 14824247 17355216 26032824 29648494 44472741 52065648 59296988 88945482 118593976 133418223 177890964 237187952 266836446 355781928 533672892 711563856 1067345784 2134691568