Search a number
-
+
1914970967 = 713173173547
BaseRepresentation
bin111001000100100…
…0010001101010111
311221110100121022122
41302021002031113
512410213032332
6514004250155
765311661510
oct16211021527
94843317278
101914970967
118a2a51038
124553a095b
13246975c20
14142483a07
15b31b8c12
hex72242357

1914970967 has 64 divisors (see below), whose sum is σ = 2616090624. Its totient is φ = 1358622720.

The previous prime is 1914970963. The next prime is 1914970973. The reversal of 1914970967 is 7690794191.

It is not a de Polignac number, because 1914970967 - 22 = 1914970963 is a prime.

It is a super-2 number, since 2×19149709672 = 7334227608905830178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1914970963) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3500588 + ... + 3501134.

It is an arithmetic number, because the mean of its divisors is an integer number (40876416).

Almost surely, 21914970967 is an apocalyptic number.

1914970967 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

1914970967 is a deficient number, since it is larger than the sum of its proper divisors (701119657).

1914970967 is a wasteful number, since it uses less digits than its factorization.

1914970967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 688.

The product of its (nonzero) digits is 857304, while the sum is 53.

The square root of 1914970967 is about 43760.3812483392. The cubic root of 1914970967 is about 1241.8068886298.

The spelling of 1914970967 in words is "one billion, nine hundred fourteen million, nine hundred seventy thousand, nine hundred sixty-seven".

Divisors: 1 7 13 17 31 73 91 119 217 221 403 511 527 547 949 1241 1547 2263 2821 3689 3829 6643 6851 7111 8687 9299 15841 16133 16957 29419 38471 39931 47957 49777 65093 112931 118699 120887 205933 220441 269297 279517 288269 500123 519103 678827 846209 1237861 1543087 2017883 3500861 3633721 3747497 4751789 8665027 8824751 16092193 21043637 26232479 61773257 112645351 147305459 273567281 1914970967