Search a number
-
+
383023466496 = 211321110318341
BaseRepresentation
bin1011001001011011111…
…10100100100000000000
31100121122120020010001200
411210231332210200000
522233413001411441
6451543014101200
736446451514146
oct5445576444000
91317576203050
10383023466496
11138491841520
126229594a800
132a171473148
1414777671596
159e6b3097b6
hex592dfa4800

383023466496 has 288 divisors, whose sum is σ = 1218592589760. Its totient is φ = 114934579200.

The previous prime is 383023466471. The next prime is 383023466543. The reversal of 383023466496 is 694664320383.

383023466496 is a `hidden beast` number, since 38 + 30 + 2 + 34 + 66 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×3830234664962 (a number of 24 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 20874286 + ... + 20892626.

It is an arithmetic number, because the mean of its divisors is an integer number (4231224270).

Almost surely, 2383023466496 is an apocalyptic number.

383023466496 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 383023466496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609296294880).

383023466496 is an abundant number, since it is smaller than the sum of its proper divisors (835569123264).

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

383023466496 is a wasteful number, since it uses less digits than its factorization.

383023466496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18483 (or 18460 counting only the distinct ones).

The product of its (nonzero) digits is 13436928, while the sum is 54.

The spelling of 383023466496 in words is "three hundred eighty-three billion, twenty-three million, four hundred sixty-six thousand, four hundred ninety-six".