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147093776405 = 51311723130337
BaseRepresentation
bin1000100011111101111…
…0001110100000010101
3112001200012220001120122
42020333132032200111
54402222001321110
6151323550041325
713425056320112
oct2107736164025
9461605801518
10147093776405
1157422669374
12246114a9245
1310b4243ca24
1471957d9909
153c5d8b1255
hex223f78e815

147093776405 has 16 divisors (see below), whose sum is σ = 177964547904. Its totient is φ = 116708067840.

The previous prime is 147093776351. The next prime is 147093776443. The reversal of 147093776405 is 504677390741.

It is a happy number.

147093776405 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 147093776405 - 224 = 147076999189 is a prime.

It is a super-3 number, since 3×1470937764053 (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1063397 + ... + 1193733.

It is an arithmetic number, because the mean of its divisors is an integer number (11122784244).

Almost surely, 2147093776405 is an apocalyptic number.

It is an amenable number.

147093776405 is a deficient number, since it is larger than the sum of its proper divisors (30870771499).

147093776405 is a wasteful number, since it uses less digits than its factorization.

147093776405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132196.

The product of its (nonzero) digits is 4445280, while the sum is 53.

The spelling of 147093776405 in words is "one hundred forty-seven billion, ninety-three million, seven hundred seventy-six thousand, four hundred five".

Divisors: 1 5 131 655 1723 8615 130337 225713 651685 1128565 17074147 85370735 224570651 1122853255 29418755281 147093776405