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133526026513041 = 329103599105123669
BaseRepresentation
bin11110010111000011110011…
…011000001110101010010001
3122111202222000100222010102220
4132113003303120032222101
5120000142300241404131
61151553002035131253
740060636261434051
oct3627036330165221
9574688010863386
10133526026513041
1139600084a4a908
1212b862a4143b29
1359675b132a316
1424d89a0b11561
1510684b97aee96
hex7970f360ea91

133526026513041 has 64 divisors (see below), whose sum is σ = 186457489920000. Its totient is φ = 84886815686400.

The previous prime is 133526026512959. The next prime is 133526026513049. The reversal of 133526026513041 is 140315620625331.

It is a happy number.

133526026513041 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 133526026513041 - 211 = 133526026510993 is a prime.

It is a super-2 number, since 2×1335260265130412 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133526026512984 and 133526026513002.

It is not an unprimeable number, because it can be changed into a prime (133526026513049) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5641376755 + ... + 5641400423.

It is an arithmetic number, because the mean of its divisors is an integer number (2913398280000).

Almost surely, 2133526026513041 is an apocalyptic number.

It is an amenable number.

133526026513041 is a deficient number, since it is larger than the sum of its proper divisors (52931463406959).

133526026513041 is a wasteful number, since it uses less digits than its factorization.

133526026513041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25454.

The product of its (nonzero) digits is 388800, while the sum is 42.

The spelling of 133526026513041 in words is "one hundred thirty-three trillion, five hundred twenty-six billion, twenty-six million, five hundred thirteen thousand, forty-one".

Divisors: 1 3 29 87 103 309 599 1051 1797 2987 3153 8961 17371 23669 30479 52113 61697 71007 91437 108253 185091 324759 629549 686401 1789213 1888647 2059203 2437907 3139337 5367639 7313721 9418011 14177731 18256921 24876119 42533193 54770763 64843547 70699303 74628357 194530641 212097909 411154199 721407451 1233462597 1460306293 1880462863 2164222353 2562240257 4380918879 5641388589 7686720771 14900795281 42348882497 44702385843 74304967453 127046647491 222914902359 432123063149 1296369189447 1534781913943 4604345741829 44508675504347 133526026513041