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132054472449 = 364323132
BaseRepresentation
bin111101011111100001…
…1110101011100000001
3110121212002210021000000
41322333003311130001
54130421421104244
6140355345350213
712353301331644
oct1727703653401
9417762707000
10132054472449
1151005341749
1221714938369
13c5b6711bc3
14656a2a3a5b
15367d3d6169
hex1ebf0f5701

132054472449 has 63 divisors (see below), whose sum is σ = 203352342867. Its totient is φ = 85714233696.

The previous prime is 132054472441. The next prime is 132054472519. The reversal of 132054472449 is 944274450231.

The square root of 132054472449 is 363393.

It is a perfect power (a square), and thus also a powerful number.

132054472449 is a `hidden beast` number, since 1 + 32 + 0 + 544 + 72 + 4 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 842450625 + 131212021824 = 29025^2 + 362232^2 .

It is not a de Polignac number, because 132054472449 - 23 = 132054472441 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132054472441) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 421899117 + ... + 421899429.

Almost surely, 2132054472449 is an apocalyptic number.

132054472449 is the 363393-rd square number.

132054472449 is the 181697-th centered octagonal number.

It is an amenable number.

132054472449 is a deficient number, since it is larger than the sum of its proper divisors (71297870418).

132054472449 is an frugal number, since it uses more digits than its factorization.

132054472449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 730 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 45.

The spelling of 132054472449 in words is "one hundred thirty-two billion, fifty-four million, four hundred seventy-two thousand, four hundred forty-nine".

Divisors: 1 3 9 27 43 81 129 243 313 387 729 939 1161 1849 2817 3483 5547 8451 10449 13459 16641 25353 31347 40377 49923 76059 97969 121131 149769 228177 293907 363393 449307 578737 881721 1090179 1347921 1736211 2645163 3270537 4212667 5208633 7935489 9811611 12638001 15625899 23806467 37914003 46877697 71419401 113742009 140633091 181144681 341226027 421899273 543434043 1023678081 1630302129 3071034243 4890906387 14672719161 44018157483 132054472449