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4910289818112 = 293672172929
BaseRepresentation
bin100011101110100010000…
…0101001001001000000000
3122101102022112120201000000
41013131010011021020000
51120422233143134422
614235431144000000
71014520362540300
oct107350405111000
918342275521000
104910289818112
111623495656078
12673792160000
132980663164c3
1412d93316b600
1587adba41cac
hex47744149200

4910289818112 has 1260 divisors, whose sum is σ = 18196672355730. Its totient is φ = 1318992740352.

The previous prime is 4910289818099. The next prime is 4910289818131. The reversal of 4910289818112 is 2118189820194.

4910289818112 is a `hidden beast` number, since 491 + 0 + 28 + 9 + 8 + 18 + 112 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 4092755579136 + 817534238976 = 2023056^2 + 904176^2 .

It is a super-2 number, since 2×49102898181122 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 5285564464 + ... + 5285565392.

Almost surely, 24910289818112 is an apocalyptic number.

4910289818112 is a gapful number since it is divisible by the number (42) 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 4910289818112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9098336177865).

4910289818112 is an abundant number, since it is smaller than the sum of its proper divisors (13286382537618).

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

4910289818112 is an frugal number, since it uses more digits than its factorization.

4910289818112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 54.

The spelling of 4910289818112 in words is "four trillion, nine hundred ten billion, two hundred eighty-nine million, eight hundred eighteen thousand, one hundred twelve".