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1334532825264 = 243411811374443
BaseRepresentation
bin10011011010111000010…
…110101110000010110000
311201120122212221201220110
4103122320112232002300
5133331110400402024
62501024221541320
7165262652564262
oct23327026560260
94646585851813
101334532825264
11474a76a96a01
12196784414840
1398acc5b9c62
144883da05b32
1524aaa973629
hex136b85ae0b0

1334532825264 has 80 divisors (see below), whose sum is σ = 3533589085824. Its totient is φ = 433753612800.

The previous prime is 1334532825247. The next prime is 1334532825289. The reversal of 1334532825264 is 4625282354331.

It is a super-2 number, since 2×13345328252642 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3376827 + ... + 3751269.

Almost surely, 21334532825264 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 1334532825264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1766794542912).

1334532825264 is an abundant number, since it is smaller than the sum of its proper divisors (2199056260560).

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

1334532825264 is a wasteful number, since it uses less digits than its factorization.

1334532825264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 376306 (or 376300 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The spelling of 1334532825264 in words is "one trillion, three hundred thirty-four billion, five hundred thirty-two million, eight hundred twenty-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 41 48 82 123 164 246 328 492 656 984 1811 1968 3622 5433 7244 10866 14488 21732 28976 43464 74251 86928 148502 222753 297004 374443 445506 594008 748886 891012 1123329 1188016 1497772 1782024 2246658 2995544 3564048 4493316 5991088 8986632 15352163 17973264 30704326 46056489 61408652 92112978 122817304 184225956 245634608 368451912 678116273 736903824 1356232546 2034348819 2712465092 4068697638 5424930184 8137395276 10849860368 16274790552 27802767193 32549581104 55605534386 83408301579 111211068772 166816603158 222422137544 333633206316 444844275088 667266412632 1334532825264