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135771547632 = 24371967331601
BaseRepresentation
bin111111001110010011…
…1010110011111110000
3110222110011010020120020
41332130213112133300
54211030004011012
6142212251243440
712544355053560
oct1763447263760
9428404106506
10135771547632
1152642554306
1222391749580
13ca59833886
1467ddc0ada0
1537e98c1a8c
hex1f9c9d67f0

135771547632 has 160 divisors (see below), whose sum is σ = 422587000320. Its totient is φ = 36694425600.

The previous prime is 135771547631. The next prime is 135771547663. The reversal of 135771547632 is 236745177531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135771547631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4280632 + ... + 4312232.

It is an arithmetic number, because the mean of its divisors is an integer number (2641168752).

Almost surely, 2135771547632 is an apocalyptic number.

135771547632 is a gapful number since it is divisible by the number (12) 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 135771547632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211293500160).

135771547632 is an abundant number, since it is smaller than the sum of its proper divisors (286815452688).

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

135771547632 is a wasteful number, since it uses less digits than its factorization.

135771547632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32311 (or 32305 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 51.

The spelling of 135771547632 in words is "one hundred thirty-five billion, seven hundred seventy-one million, five hundred forty-seven thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 673 798 912 1064 1346 1596 2019 2128 2692 3192 4038 4711 5384 6384 8076 9422 10768 12787 14133 16152 18844 25574 28266 31601 32304 37688 38361 51148 56532 63202 75376 76722 89509 94803 102296 113064 126404 153444 179018 189606 204592 221207 226128 252808 268527 306888 358036 379212 442414 505616 537054 600419 613776 663621 716072 758424 884828 1074108 1200838 1327242 1432144 1516848 1769656 1801257 2148216 2401676 2654484 3539312 3602514 4202933 4296432 4803352 5308968 7205028 8405866 9606704 10617936 12608799 14410056 16811732 21267473 25217598 28820112 33623464 42534946 50435196 63802419 67246928 85069892 100870392 127604838 148872311 170139784 201740784 255209676 297744622 340279568 404081987 446616933 510419352 595489244 808163974 893233866 1020838704 1190978488 1212245961 1616327948 1786467732 2381956976 2424491922 2828573909 3232655896 3572935464 4848983844 5657147818 6465311792 7145870928 8485721727 9697967688 11314295636 16971443454 19395935376 22628591272 33942886908 45257182544 67885773816 135771547632