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428373465312 = 253131779431593
BaseRepresentation
bin1100011101111010000…
…11000101100011100000
31111221201002020202020110
412032331003011203200
524004302101342222
6524443030011320
742643331243142
oct6167503054340
91457632222213
10428373465312
11155743720891
126b0314a6b40
133151aa39a80
1416a3a5aac92
15b22283130c
hex63bd0c58e0

428373465312 has 384 divisors, whose sum is σ = 1303650754560. Its totient is φ = 121993297920.

The previous prime is 428373465307. The next prime is 428373465313. The reversal of 428373465312 is 213564373824.

It is a super-2 number, since 2×4283734653122 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (428373465313) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 722383288 + ... + 722383880.

It is an arithmetic number, because the mean of its divisors is an integer number (3394923840).

Almost surely, 2428373465312 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 428373465312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (651825377280).

428373465312 is an abundant number, since it is smaller than the sum of its proper divisors (875277289248).

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

428373465312 is a wasteful number, since it uses less digits than its factorization.

428373465312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1146 (or 1138 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 48.

The spelling of 428373465312 in words is "four hundred twenty-eight billion, three hundred seventy-three million, four hundred sixty-five thousand, three hundred twelve".