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894030213440 = 265751319673
BaseRepresentation
bin11010000001010000101…
…10100111000101000000
310011110122111120111121102
431000220112213011000
5104121433213312230
61522413430113532
7121406621300000
oct15005026470500
93143574514542
10894030213440
113151798258a1
12125328aab8a8
13663caa3b520
14313b2600000
15183c83b1045
hexd0285a7140

894030213440 has 672 divisors, whose sum is σ = 2819721381120. Its totient is φ = 267655643136.

The previous prime is 894030213431. The next prime is 894030213449. The reversal of 894030213440 is 44312030498.

It is an interprime number because it is at equal distance from previous prime (894030213431) and next prime (894030213449).

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 894030213394 and 894030213403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (894030213449) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1328424944 + ... + 1328425616.

It is an arithmetic number, because the mean of its divisors is an integer number (4196013960).

Almost surely, 2894030213440 is an apocalyptic number.

894030213440 is a gapful number since it is divisible by the number (80) 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 894030213440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1409860690560).

894030213440 is an abundant number, since it is smaller than the sum of its proper divisors (1925691167680).

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

894030213440 is an equidigital number, since it uses as much as digits as its factorization.

894030213440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 757 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 38.

The spelling of 894030213440 in words is "eight hundred ninety-four billion, thirty million, two hundred thirteen thousand, four hundred forty".