Search a number
-
+
380017813681 = 11311487749443
BaseRepresentation
bin1011000011110101101…
…00111010100010110001
31100022220002120010112001
411201322310322202301
522211234030014211
6450324444334001
736312124056022
oct5417264724261
91308802503461
10380017813681
1113718a170030
1261797244301
1329ab285c95c
14145703d6c49
159d424eaac1
hex587ad3a8b1

380017813681 has 16 divisors (see below), whose sum is σ = 428226306048. Its totient is φ = 334101243600.

The previous prime is 380017813673. The next prime is 380017813691. The reversal of 380017813681 is 186318710083.

It is a cyclic number.

It is not a de Polignac number, because 380017813681 - 23 = 380017813673 is a prime.

It is a super-2 number, since 2×3800178136812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (380017813661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 132346 + ... + 881788.

It is an arithmetic number, because the mean of its divisors is an integer number (26764144128).

Almost surely, 2380017813681 is an apocalyptic number.

380017813681 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

380017813681 is a deficient number, since it is larger than the sum of its proper divisors (48208492367).

380017813681 is a wasteful number, since it uses less digits than its factorization.

380017813681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 750972.

The product of its (nonzero) digits is 193536, while the sum is 46.

The spelling of 380017813681 in words is "three hundred eighty billion, seventeen million, eight hundred thirteen thousand, six hundred eighty-one".

Divisors: 1 11 31 341 1487 16357 46097 507067 749443 8243873 23232733 255560063 1114421741 12258639151 34547073971 380017813681