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28966084213248 = 2933713295371211
BaseRepresentation
bin1101001011000001100010…
…01010001111101000000000
310210120010112012201212001000
412211200301022033220000
512244040020024310443
6141334500235412000
76046505366246340
oct645406112175000
9123503465655030
1028966084213248
1192584a1437636
1232b99a2bb4000
13132164a763c50
14721d74826d20
1535371ac9a8d3
hex1a583128fa00

28966084213248 has 2560 divisors, whose sum is σ = 113327946547200. Its totient is φ = 7101068083200.

The previous prime is 28966084213229. The next prime is 28966084213249. The reversal of 28966084213248 is 84231248066982.

28966084213248 is a `hidden beast` number, since 2 + 8 + 9 + 6 + 608 + 4 + 2 + 13 + 2 + 4 + 8 = 666.

It is a super-3 number, since 3×289660842132483 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (28966084213249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 137280019863 + ... + 137280020073.

It is an arithmetic number, because the mean of its divisors is an integer number (44268729120).

Almost surely, 228966084213248 is an apocalyptic number.

28966084213248 is a gapful number since it is divisible by the number (28) 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 28966084213248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56663973273600).

28966084213248 is an abundant number, since it is smaller than the sum of its proper divisors (84361862333952).

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

28966084213248 is a wasteful number, since it uses less digits than its factorization.

28966084213248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 411 (or 389 counting only the distinct ones).

The product of its (nonzero) digits is 63700992, while the sum is 63.

The spelling of 28966084213248 in words is "twenty-eight trillion, nine hundred sixty-six billion, eighty-four million, two hundred thirteen thousand, two hundred forty-eight".