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133768503 = 34112931167
BaseRepresentation
bin1111111100100…
…10010100110111
3100022201010220000
413332102110313
5233221043003
621135042343
73213004431
oct776222467
9308633800
10133768503
1169566290
12389703b3
1321937b7b
1413aa1651
15bb251a3
hex7f92537

133768503 has 80 divisors (see below), whose sum is σ = 234178560. Its totient is φ = 75297600.

The previous prime is 133768501. The next prime is 133768519. The reversal of 133768503 is 305867331.

It is not a de Polignac number, because 133768503 - 21 = 133768501 is a prime.

It is a super-2 number, since 2×1337685032 = 35788024789722018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133768501) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 800926 + ... + 801092.

It is an arithmetic number, because the mean of its divisors is an integer number (2927232).

Almost surely, 2133768503 is an apocalyptic number.

133768503 is a deficient number, since it is larger than the sum of its proper divisors (100410057).

133768503 is a wasteful number, since it uses less digits than its factorization.

133768503 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 241 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 133768503 is about 11565.8334330043. The cubic root of 133768503 is about 511.4281423983.

The spelling of 133768503 in words is "one hundred thirty-three million, seven hundred sixty-eight thousand, five hundred three".

Divisors: 1 3 9 11 27 29 31 33 81 87 93 99 167 261 279 297 319 341 501 783 837 891 899 957 1023 1503 1837 2349 2511 2697 2871 3069 4509 4843 5177 5511 8091 8613 9207 9889 13527 14529 15531 16533 24273 25839 27621 29667 43587 46593 49599 53273 56947 72819 89001 130761 139779 148797 150133 159819 170841 267003 392283 419337 450399 479457 512523 801009 1351197 1438371 1537569 1651463 4053591 4315113 4612707 4954389 12160773 14863167 44589501 133768503