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1058274823749 = 31113173136110477
BaseRepresentation
bin11110110011001100001…
…10000100111001000101
310202011120222210012022120
433121212012010321011
5114314321323324444
62130055330120153
7136313015403243
oct17314606047105
93664528705276
101058274823749
113788a2604560
12151126120059
1378a444a2c80
1439313b3d793
151c7dc7e0b19
hexf666184e45

1058274823749 has 64 divisors (see below), whose sum is σ = 1668683697408. Its totient is φ = 588131020800.

The previous prime is 1058274823699. The next prime is 1058274823763. The reversal of 1058274823749 is 9473284728501.

It is not a de Polignac number, because 1058274823749 - 29 = 1058274823237 is a prime.

It is a super-2 number, since 2×10582748237492 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1058274823692 and 1058274823701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1058274823769) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 101004099 + ... + 101014575.

It is an arithmetic number, because the mean of its divisors is an integer number (26073182772).

Almost surely, 21058274823749 is an apocalyptic number.

It is an amenable number.

1058274823749 is a deficient number, since it is larger than the sum of its proper divisors (610408873659).

1058274823749 is a wasteful number, since it uses less digits than its factorization.

1058274823749 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12038.

The product of its (nonzero) digits is 27095040, while the sum is 60.

The spelling of 1058274823749 in words is "one trillion, fifty-eight billion, two hundred seventy-four million, eight hundred twenty-three thousand, seven hundred forty-nine".

Divisors: 1 3 11 13 33 39 143 173 429 519 1361 1903 2249 4083 5709 6747 10477 14971 17693 24739 31431 44913 53079 74217 115247 136201 194623 235453 345741 408603 583869 706359 1498211 1812521 2589983 3060889 4494633 5437563 7769949 9182667 14259197 19937731 23562773 33669779 42777591 59813193 70688319 101009337 156851167 185369561 259190503 470553501 556108683 777571509 2039065171 2466841081 6117195513 7400523243 27135251891 32068934053 81405755673 96206802159 352758274583 1058274823749