Search a number
-
+
1075269247332 = 2237172925965161
BaseRepresentation
bin11111010010110110000…
…10101010000101100100
310210210110100210100211020
433221123002222011210
5120104122411403312
62141545531411140
7140454113540550
oct17513302520544
93723410710736
101075269247332
11385023504525
121544895b3ab0
137a522293107
143a086baa860
151ce8476578c
hexfa5b0aa164

1075269247332 has 96 divisors (see below), whose sum is σ = 3140745995520. Its totient is φ = 279177400320.

The previous prime is 1075269247331. The next prime is 1075269247373. The reversal of 1075269247332 is 2337429625701.

It is a super-3 number, since 3×10752692473323 (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (1075269247331) 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 31 ways as a sum of consecutive naturals, for example, 12941169 + ... + 13023992.

It is an arithmetic number, because the mean of its divisors is an integer number (32716104120).

Almost surely, 21075269247332 is an apocalyptic number.

1075269247332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1075269247332 is an abundant number, since it is smaller than the sum of its proper divisors (2065476748188).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1075269247332 is a wasteful number, since it uses less digits than its factorization.

1075269247332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25965221 (or 25965219 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 51.

The spelling of 1075269247332 in words is "one trillion, seventy-five billion, two hundred sixty-nine million, two hundred forty-seven thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 29 34 42 51 58 68 84 87 102 116 119 174 203 204 238 348 357 406 476 493 609 714 812 986 1218 1428 1479 1972 2436 2958 3451 5916 6902 10353 13804 20706 41412 25965161 51930322 77895483 103860644 155790966 181756127 311581932 363512254 441407737 545268381 727024508 752989669 882815474 1090536762 1324223211 1505979338 1765630948 2181073524 2258969007 2648446422 3011958676 3089854159 4517938014 5270927683 5296892844 6179708318 9035876028 9269562477 10541855366 12359416636 12800824373 15812783049 18539124954 21083710732 25601648746 31625566098 37078249908 38402473119 51203297492 63251132196 76804946238 89605770611 153609892476 179211541222 268817311833 358423082444 537634623666 1075269247332