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132153466421361 = 37112592122141539
BaseRepresentation
bin11110000011000101100000…
…011011000000000001110001
3122022220202012022000002202210
4132003011200123000001301
5114310200244400440421
61145022244145002333
736556526044235520
oct3603054033000161
9568822168002683
10132153466421361
1139120a74619900
12129a42886233a9
1358980315a94b8
14248c39493a4b7
15104293562d576
hex7831606c0071

132153466421361 has 96 divisors (see below), whose sum is σ = 225115641676800. Its totient is φ = 67482767721600.

The previous prime is 132153466421359. The next prime is 132153466421491. The reversal of 132153466421361 is 163124664351231.

It is not a de Polignac number, because 132153466421361 - 21 = 132153466421359 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132153466421361.

It is not an unprimeable number, because it can be changed into a prime (132153466421341) 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 95 ways as a sum of consecutive naturals, for example, 3181410330 + ... + 3181451868.

It is an arithmetic number, because the mean of its divisors is an integer number (2344954600800).

Almost surely, 2132153466421361 is an apocalyptic number.

132153466421361 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132153466421361 is a deficient number, since it is larger than the sum of its proper divisors (92962175255439).

132153466421361 is a wasteful number, since it uses less digits than its factorization.

132153466421361 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62851 (or 62840 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 48.

The spelling of 132153466421361 in words is "one hundred thirty-two trillion, one hundred fifty-three billion, four hundred sixty-six million, four hundred twenty-one thousand, three hundred sixty-one".

Divisors: 1 3 7 11 21 33 59 77 121 177 231 363 413 649 847 1239 1947 2541 4543 7139 13629 21221 21417 41539 49973 63663 124617 148547 149919 233431 290773 445641 456929 700293 872319 1252039 1370787 1634017 2450801 2567741 3198503 3756117 4902051 5026219 7352403 7703223 8764273 9595509 13772429 15078657 17155607 17974187 26292819 26958811 35183533 41317287 51466821 53922561 80876433 96407003 105550599 151496719 188711677 289221009 296546921 454490157 566135031 881499119 889640763 1060477033 2075828447 2644497357 3181431099 6170493833 6227485341 9696490309 18511481499 29089470927 52008448021 67875432163 106661393399 156025344063 203626296489 319984180197 364059136147 572092928231 746629753793 1092177408441 1716278784693 2239889261379 4004650497617 6293022210541 12013951492851 18879066631623 44051155473787 132153466421361