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132064782456 = 233191567118481
BaseRepresentation
bin111101011111110101…
…1001010100001111000
3110121212211012001200010
41322333223022201320
54130432041014311
6140400354341520
712353455062165
oct1727753124170
9417784161603
10132064782456
1151010143812
122171828a8a0
13c5b88b18b9
14656b7c906c
15367e270da6
hex1ebfaca878

132064782456 has 64 divisors (see below), whose sum is σ = 347579884800. Its totient is φ = 41699750400.

The previous prime is 132064782439. The next prime is 132064782469. The reversal of 132064782456 is 654287460231.

It is a super-2 number, since 2×1320647824562 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7136736 + ... + 7155216.

It is an arithmetic number, because the mean of its divisors is an integer number (5430935700).

Almost surely, 2132064782456 is an apocalyptic number.

It is an amenable number.

132064782456 is an abundant number, since it is smaller than the sum of its proper divisors (215515102344).

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

132064782456 is a wasteful number, since it uses less digits than its factorization.

132064782456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34180 (or 34176 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 132064782456 in words is "one hundred thirty-two billion, sixty-four million, seven hundred eighty-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 15671 18481 31342 36962 47013 55443 62684 73924 94026 110886 125368 147848 188052 221772 297749 351139 376104 443544 595498 702278 893247 1053417 1190996 1404556 1786494 2106834 2381992 2809112 3572988 4213668 7145976 8427336 289615751 579231502 868847253 1158463004 1737694506 2316926008 3475389012 5502699269 6950778024 11005398538 16508097807 22010797076 33016195614 44021594152 66032391228 132064782456