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946143166440 = 2335192576172617
BaseRepresentation
bin11011100010010101000…
…01101111111111101000
310100110011100021210211210
431301022201233333220
5111000200122311230
62002352511353120
7125233211135403
oct15611241577750
93313140253753
10946143166440
1133529117379a
121334515227a0
136b2b4482aa4
1433b177ccd3a
15199284caeb0
hexdc4a86ffe8

946143166440 has 256 divisors, whose sum is σ = 3005455622400. Its totient is φ = 237618855936.

The previous prime is 946143166429. The next prime is 946143166483. The reversal of 946143166440 is 44661341649.

It is a super-2 number, since 2×9461431664402 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 946143166440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 361536012 + ... + 361538628.

It is an arithmetic number, because the mean of its divisors is an integer number (11740061025).

Almost surely, 2946143166440 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 946143166440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1502727811200).

946143166440 is an abundant number, since it is smaller than the sum of its proper divisors (2059312455960).

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

946143166440 is a wasteful number, since it uses less digits than its factorization.

946143166440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3524 (or 3520 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 48.

The spelling of 946143166440 in words is "nine hundred forty-six billion, one hundred forty-three million, one hundred sixty-six thousand, four hundred forty".