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107535461476 = 22113214512
BaseRepresentation
bin110010000100110011…
…1001110110001100100
3101021120022221110002111
41210021213032301210
53230213034231401
6121222350050404
710524554224642
oct1441147166144
9337508843074
10107535461476
1141672a67913
1218a114a9a04
13a1a9a355a1
1452c1b64192
152be5a73e51
hex19099cec64

107535461476 has 27 divisors (see below), whose sum is σ = 189998110393. Its totient is φ = 53255182400.

The previous prime is 107535461399. The next prime is 107535461479. The reversal of 107535461476 is 674164535701.

It is a happy number.

The square root of 107535461476 is 327926.

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

It can be written as a sum of positive squares in only one way, i.e., 1894860900 + 105640600576 = 43530^2 + 325024^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107535461479) 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 8 ways as a sum of consecutive naturals, for example, 74110551 + ... + 74112001.

Almost surely, 2107535461476 is an apocalyptic number.

107535461476 is the 327926-th square number.

It is an amenable number.

107535461476 is a deficient number, since it is larger than the sum of its proper divisors (82462648917).

107535461476 is an frugal number, since it uses more digits than its factorization.

107535461476 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3132 (or 1566 counting only the distinct ones).

The product of its (nonzero) digits is 2116800, while the sum is 49.

Multiplying 107535461476 by its sum of digits (49), we get a square (5269237612324 = 22954822).

The spelling of 107535461476 in words is "one hundred seven billion, five hundred thirty-five million, four hundred sixty-one thousand, four hundred seventy-six".

Divisors: 1 2 4 113 226 452 1451 2902 5804 12769 25538 51076 163963 327926 655852 2105401 4210802 8421604 18527819 37055638 74111276 237910313 475820626 951641252 26883865369 53767730738 107535461476