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1148069538 = 23571122789
BaseRepresentation
bin100010001101110…
…0010011010100010
32222000021222100000
41010123202122202
54322401211123
6305531040430
740310300340
oct10433423242
92860258300
101148069538
1153a067700
122805a0116
13153b114b5
14ac692990
156abcdb43
hex446e26a2

1148069538 has 144 divisors (see below), whose sum is σ = 3241667520. Its totient is φ = 298092960.

The previous prime is 1148069537. The next prime is 1148069539. The reversal of 1148069538 is 8359608411.

1148069538 is a `hidden beast` number, since 11 + 48 + 0 + 69 + 538 = 666.

It is an interprime number because it is at equal distance from previous prime (1148069537) and next prime (1148069539).

It is a junction number, because it is equal to n+sod(n) for n = 1148069493 and 1148069502.

It is not an unprimeable number, because it can be changed into a prime (1148069537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 410248 + ... + 413036.

It is an arithmetic number, because the mean of its divisors is an integer number (22511580).

Almost surely, 21148069538 is an apocalyptic number.

1148069538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148069538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1620833760).

1148069538 is an abundant number, since it is smaller than the sum of its proper divisors (2093597982).

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

1148069538 is a wasteful number, since it uses less digits than its factorization.

1148069538 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2835 (or 2812 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 1148069538 is about 33883.1748512444. The cubic root of 1148069538 is about 1047.1029857400.

It can be divided in two parts, 11480 and 69538, that added together give a palindrome (81018).

The spelling of 1148069538 in words is "one billion, one hundred forty-eight million, sixty-nine thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 63 66 77 81 99 121 126 154 162 189 198 231 242 243 297 363 378 462 486 567 594 693 726 847 891 1089 1134 1386 1694 1701 1782 2079 2178 2541 2673 2789 3267 3402 4158 5082 5346 5578 6237 6534 7623 8367 9801 12474 15246 16734 18711 19523 19602 22869 25101 29403 30679 37422 39046 45738 50202 58569 58806 61358 68607 75303 92037 117138 137214 150606 175707 184074 205821 214753 225909 276111 337469 351414 411642 429506 451818 527121 552222 644259 674938 677727 828333 1012407 1054242 1288518 1355454 1581363 1656666 1932777 2024814 2362283 2484999 3037221 3162726 3865554 4724566 4744089 4969998 5798331 6074442 7086849 7454997 9111663 9488178 11596662 14173698 14909994 17394993 18223326 21260547 27334989 34789986 42521094 52184979 54669978 63781641 82004967 104369958 127563282 164009934 191344923 382689846 574034769 1148069538