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132153261446635 = 5112131011637101627
BaseRepresentation
bin11110000011000101010100…
…001101000101010111101011
3122022220201200000022022022021
4132003011110031011113223
5114310144334412243020
61145022211543405311
736556521005051542
oct3603052415052753
9568821600268267
10132153261446635
1139120979949300
12129a422ba53837
135897ccac9ca90
14248c375621159
1510429226401aa
hex7831543455eb

132153261446635 has 96 divisors (see below), whose sum is σ = 189696088161216. Its totient is φ = 87785351808000.

The previous prime is 132153261446543. The next prime is 132153261446651. The reversal of 132153261446635 is 536644162351231.

It is not a de Polignac number, because 132153261446635 - 233 = 132144671512043 is a prime.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1300324692 + ... + 1300426318.

It is an arithmetic number, because the mean of its divisors is an integer number (1976000918346).

Almost surely, 2132153261446635 is an apocalyptic number.

132153261446635 is a deficient number, since it is larger than the sum of its proper divisors (57542826714581).

132153261446635 is a wasteful number, since it uses less digits than its factorization.

132153261446635 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103405 (or 103394 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 52.

The spelling of 132153261446635 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, two hundred sixty-one million, four hundred forty-six thousand, six hundred thirty-five".

Divisors: 1 5 11 13 55 65 101 121 143 505 605 715 1111 1313 1573 1637 5555 6565 7865 8185 12221 14443 18007 21281 61105 72215 90035 101627 106405 158873 165337 198077 234091 508135 794365 826685 990385 1117897 1170455 1321151 1818707 2149381 2575001 5589485 6605755 9093535 10264327 10746905 12296867 12875005 14532661 20005777 23643191 51321635 61484335 72663305 100028885 112907597 118215955 133436251 159859271 166363399 260075101 564537985 667181255 799296355 831816995 1241983567 1300375505 1467798761 1829997389 2162724187 6209917835 7338993805 9149986945 10813620935 16145786371 16802703299 20129971279 23789966057 80728931855 84013516495 100649856395 118949830285 184829736289 218435142887 261689626627 924148681445 1092175714435 1308448133135 2033127099179 2402786571757 10165635495895 12013932858785 26430652289327 132153261446635