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132654005532664 = 237111240917354131
BaseRepresentation
bin11110001010010111101010…
…111000001011011111111000
3122101200121011201122111200121
4132022113222320023133320
5114341400400404021124
61150044224151143024
736640635630416230
oct3612275270133770
9571617151574617
10132654005532664
11392a427a927630
1212a6529a074a74
1359032b0324535
1424a86b95b6cc0
15105097d7532e4
hex78a5eae0b7f8

132654005532664 has 64 divisors (see below), whose sum is σ = 310125280492800. Its totient is φ = 51679210809600.

The previous prime is 132654005532661. The next prime is 132654005532691. The reversal of 132654005532664 is 466235500456231.

It is a super-2 number, since 2×1326540055326642 (a number of 29 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132654005532661) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1033122 + ... + 16321009.

It is an arithmetic number, because the mean of its divisors is an integer number (4845707507700).

Almost surely, 2132654005532664 is an apocalyptic number.

132654005532664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132654005532664 is an abundant number, since it is smaller than the sum of its proper divisors (177471274960136).

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

132654005532664 is a wasteful number, since it uses less digits than its factorization.

132654005532664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17366564 (or 17366560 counting only the distinct ones).

The product of its (nonzero) digits is 15552000, while the sum is 52.

Adding to 132654005532664 its reverse (466235500456231), we get a palindrome (598889505988895).

The spelling of 132654005532664 in words is "one hundred thirty-two trillion, six hundred fifty-four billion, five million, five hundred thirty-two thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 154 308 616 12409 24818 49636 86863 99272 136499 173726 272998 347452 545996 694904 955493 1091992 1910986 3821972 7643944 17354131 34708262 69416524 121478917 138833048 190895441 242957834 381790882 485915668 763581764 971831336 1336268087 1527163528 2672536174 5345072348 10690144696 215347411579 430694823158 861389646316 1507431881053 1722779292632 2368821527369 3014863762106 4737643054738 6029727524212 9475286109476 12059455048424 16581750691583 18950572218952 33163501383166 66327002766332 132654005532664