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133540663296 = 212383912953
BaseRepresentation
bin111110001011110100…
…1001101000000000000
3110202200200022120120110
41330113221031000000
54141442402211141
6141203035511320
712435155623605
oct1742751150000
9422620276513
10133540663296
11516a824a947
1221a6a5b8540
13c7925aa881
14666b8106ac
153718b03e16
hex1f17a4d000

133540663296 has 104 divisors (see below), whose sum is σ = 356516879040. Its totient is φ = 44457066496.

The previous prime is 133540663283. The next prime is 133540663337. The reversal of 133540663296 is 692366045331.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10303156 + ... + 10316108.

Almost surely, 2133540663296 is an apocalyptic number.

133540663296 is a gapful number since it is divisible by the number (16) 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 133540663296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178258439520).

133540663296 is an abundant number, since it is smaller than the sum of its proper divisors (222976215744).

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

133540663296 is an equidigital number, since it uses as much as digits as its factorization.

133540663296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13819 (or 13797 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 48.

The spelling of 133540663296 in words is "one hundred thirty-three billion, five hundred forty million, six hundred sixty-three thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 839 1024 1536 1678 2048 2517 3072 3356 4096 5034 6144 6712 10068 12288 12953 13424 20136 25906 26848 38859 40272 51812 53696 77718 80544 103624 107392 155436 161088 207248 214784 310872 322176 414496 429568 621744 644352 828992 859136 1243488 1288704 1657984 1718272 2486976 2577408 3315968 3436544 4973952 5154816 6631936 9947904 10309632 10867567 13263872 19895808 21735134 26527744 32602701 39791616 43470268 53055488 65205402 79583232 86940536 130410804 159166464 173881072 260821608 347762144 521643216 695524288 1043286432 1391048576 2086572864 2782097152 4173145728 5564194304 8346291456 11128388608 16692582912 22256777216 33385165824 44513554432 66770331648 133540663296