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30965699457 = 32711231942763
BaseRepresentation
bin11100110101101100…
…110001001110000001
32221221001102111222200
4130311230301032001
51001404204340312
622120410223413
72144234050110
oct346554611601
987831374880
1030965699457
111215036a360
126002424b69
132bc64829b4
1416da7c7c77
15c137d20dc
hex735b31381

30965699457 has 48 divisors (see below), whose sum is σ = 58189667328. Its totient is φ = 15386675040.

The previous prime is 30965699449. The next prime is 30965699459. The reversal of 30965699457 is 75499656903.

30965699457 is a `hidden beast` number, since 3 + 0 + 96 + 5 + 6 + 99 + 457 = 666.

It is not a de Polignac number, because 30965699457 - 23 = 30965699449 is a prime.

It is a super-3 number, since 3×309656994573 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 30965699394 and 30965699403.

It is not an unprimeable number, because it can be changed into a prime (30965699459) 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 47 ways as a sum of consecutive naturals, for example, 955443 + ... + 987320.

It is an arithmetic number, because the mean of its divisors is an integer number (1212284736).

Almost surely, 230965699457 is an apocalyptic number.

It is an amenable number.

30965699457 is a deficient number, since it is larger than the sum of its proper divisors (27223967871).

30965699457 is a wasteful number, since it uses less digits than its factorization.

30965699457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942810 (or 1942807 counting only the distinct ones).

The product of its (nonzero) digits is 55112400, while the sum is 63.

The spelling of 30965699457 in words is "thirty billion, nine hundred sixty-five million, six hundred ninety-nine thousand, four hundred fifty-seven".

Divisors: 1 3 7 9 11 21 23 33 63 69 77 99 161 207 231 253 483 693 759 1449 1771 2277 5313 15939 1942763 5828289 13599341 17484867 21370393 40798023 44683549 64111179 122394069 134050647 149592751 192333537 312784843 402151941 448778253 491519039 938354529 1346334759 1474557117 2815063587 3440633273 4423671351 10321899819 30965699457