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154691969481 = 367220812
BaseRepresentation
bin1001000000010001011…
…1000010000111001001
3112210021202020021000000
42100010113002013021
510013302121010411
6155021533433213
714114261021400
oct2200427020711
9483252207000
10154691969481
115a671647285
1225b9203b809
131178365ac6a
1476b698c637
15405598c956
hex24045c21c9

154691969481 has 63 divisors (see below), whose sum is σ = 269927991543. Its totient is φ = 88352933760.

The previous prime is 154691969473. The next prime is 154691969507. The reversal of 154691969481 is 184969196451.

The square root of 154691969481 is 393309.

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

154691969481 is a `hidden beast` number, since 1 + 5 + 4 + 6 + 91 + 9 + 69 + 481 = 666.

It can be written as a sum of positive squares in only one way, i.e., 58616767881 + 96075201600 = 242109^2 + 309960^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 154691969481 - 23 = 154691969473 is a prime.

It is a super-2 number, since 2×1546919694812 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (154691969281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 74334361 + ... + 74336441.

Almost surely, 2154691969481 is an apocalyptic number.

154691969481 is the 393309-th square number.

154691969481 is the 196655-th centered octagonal number.

It is an amenable number.

154691969481 is a deficient number, since it is larger than the sum of its proper divisors (115236022062).

154691969481 is an frugal number, since it uses more digits than its factorization.

154691969481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4194 (or 2091 counting only the distinct ones).

The product of its digits is 16796160, while the sum is 63.

The spelling of 154691969481 in words is "one hundred fifty-four billion, six hundred ninety-one million, nine hundred sixty-nine thousand, four hundred eighty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 243 441 567 729 1323 1701 2081 3969 5103 6243 11907 14567 18729 35721 43701 56187 101969 131103 168561 305907 393309 505683 917721 1179927 1517049 2753163 3539781 4330561 8259489 10619343 12991683 24778467 30313927 38975049 74335401 90941781 116925147 212197489 272825343 350775441 636592467 818476029 1052326323 1909777401 2455428087 3156978969 5729332203 7366284261 17187996609 22098852783 51563989827 154691969481