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1057375146741 = 323313421116293
BaseRepresentation
bin11110110001100000111…
…10000101001011110101
310202002021021212212110220
433120300132011023311
5114311001014143431
62125430151004553
7136251512311224
oct17306036051365
93662237785426
101057375146741
11378480782941
12150b14969759
137892cc90604
143926a468cbb
151c788829b96
hexf6307852f5

1057375146741 has 32 divisors (see below), whose sum is σ = 1479348993792. Its totient is φ = 670511761920.

The previous prime is 1057375146703. The next prime is 1057375146743. The reversal of 1057375146741 is 1476415737501.

It is not a de Polignac number, because 1057375146741 - 26 = 1057375146677 is a prime.

It is a super-2 number, since 2×10573751467412 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1057375146743) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9034191 + ... + 9150483.

It is an arithmetic number, because the mean of its divisors is an integer number (46229656056).

Almost surely, 21057375146741 is an apocalyptic number.

It is an amenable number.

1057375146741 is a deficient number, since it is larger than the sum of its proper divisors (421973847051).

1057375146741 is a wasteful number, since it uses less digits than its factorization.

1057375146741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117053.

The product of its (nonzero) digits is 2469600, while the sum is 51.

The spelling of 1057375146741 in words is "one trillion, fifty-seven billion, three hundred seventy-five million, one hundred forty-six thousand, seven hundred forty-one".

Divisors: 1 3 23 69 313 421 939 1263 7199 9683 21597 29049 116293 131773 348879 395319 2674739 3030779 8024217 9092337 36399709 48959353 109199127 146878059 837193307 1126065119 2511579921 3378195357 15324277489 45972832467 352458382247 1057375146741