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133551247752 = 233213142682957
BaseRepresentation
bin111110001100001000…
…1100101000110001000
3110202201102020022201100
41330120101211012020
54142003104412002
6141204054421400
712435344606226
oct1743021450610
9422642208640
10133551247752
115170321a12a
1221a72061860
13c794845470
14666cda7b16
1537199e511c
hex1f18465188

133551247752 has 48 divisors (see below), whose sum is σ = 389524475340. Its totient is φ = 41092691328.

The previous prime is 133551247561. The next prime is 133551247763. The reversal of 133551247752 is 257742155331.

133551247752 is a `hidden beast` number, since 1 + 3 + 3 + 551 + 2 + 47 + 7 + 52 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 121308710436 + 12242537316 = 348294^2 + 110646^2 .

It is a super-2 number, since 2×1335512477522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133551247698 and 133551247707.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 71340543 + ... + 71342414.

Almost surely, 2133551247752 is an apocalyptic number.

133551247752 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133551247752 is an abundant number, since it is smaller than the sum of its proper divisors (255973227588).

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

133551247752 is a wasteful number, since it uses less digits than its factorization.

133551247752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142682982 (or 142682975 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The spelling of 133551247752 in words is "one hundred thirty-three billion, five hundred fifty-one million, two hundred forty-seven thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 142682957 285365914 428048871 570731828 856097742 1141463656 1284146613 1712195484 1854878441 2568293226 3424390968 3709756882 5136586452 5564635323 7419513764 10273172904 11129270646 14839027528 16693905969 22258541292 33387811938 44517082584 66775623876 133551247752