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132867648711314 = 2111753167288713903
BaseRepresentation
bin11110001101011110101001…
…000000001110101010010010
3122102110000121212222110212222
4132031132221000032222102
5114403400421032230224
61150330315530021042
736662241124444256
oct3615365100165222
9572400555873788
10132867648711314
1139376942932890
1212a9a782877782
13591a49a04b58a
1424b4b8560a266
1510562d4825b5e
hex78d7a900ea92

132867648711314 has 128 divisors (see below), whose sum is σ = 236055973773312. Its totient is φ = 55412153072640.

The previous prime is 132867648711293. The next prime is 132867648711337. The reversal of 132867648711314 is 413117846768231.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9556754087 + ... + 9556767989.

It is an arithmetic number, because the mean of its divisors is an integer number (1844187295104).

Almost surely, 2132867648711314 is an apocalyptic number.

132867648711314 is a deficient number, since it is larger than the sum of its proper divisors (103188325061998).

132867648711314 is a wasteful number, since it uses less digits than its factorization.

132867648711314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17040.

The product of its digits is 32514048, while the sum is 62.

The spelling of 132867648711314 in words is "one hundred thirty-two trillion, eight hundred sixty-seven billion, six hundred forty-eight million, seven hundred eleven thousand, three hundred fourteen".

Divisors: 1 2 11 17 22 34 53 106 167 187 334 374 583 901 1166 1802 1837 2839 2887 3674 5678 5774 8851 9911 13903 17702 19822 27806 31229 31757 49079 62458 63514 97361 98158 150467 152933 153011 194722 236351 300934 305866 306022 472702 482129 539869 736859 964258 1079738 1473718 1655137 1683121 2321801 2599861 2601187 3310274 3366242 4643602 5199722 5202374 5303419 8105449 8196193 10606838 12526603 16210898 16392386 25053206 25539811 25552837 28613057 39470617 40137961 51079622 51105674 57226114 78941234 80275922 90158123 123055453 137792633 180316246 246110906 275585266 281081207 434176787 434398229 441517571 562162414 682345337 868353574 868796458 883035142 1353609983 1364690674 2091942701 2127311933 2707219966 4183885402 4254623866 4778380519 6703039487 7505798707 9556761038 13406078974 15011597414 23011369711 23400431263 36164302861 46022739422 46800862526 72328605722 73733434357 113951671279 147466868714 227903342558 355261092811 397807331471 710522185622 795614662942 1253468384069 2506936768138 3907872020921 6039438577787 7815744041842 12078877155574 66433824355657 132867648711314