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1148918904 = 233471913331
BaseRepresentation
bin100010001111011…
…0001110001111000
32222001220010110000
41010132301301320
54323110401104
6310001153000
740320435540
oct10436616170
92861803400
101148918904
1153a597861
1228092b760
1315404ac93
14ac834320
156acea639
hex447b1c78

1148918904 has 160 divisors (see below), whose sum is σ = 3871612800. Its totient is φ = 310962240.

The previous prime is 1148918861. The next prime is 1148918909. The reversal of 1148918904 is 4098198411.

It is a super-2 number, since 2×11489189042 = 2640029295937122432, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1148918904.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1148918909) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 79519 + ... + 92849.

It is an arithmetic number, because the mean of its divisors is an integer number (24197580).

Almost surely, 21148918904 is an apocalyptic number.

1148918904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1148918904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1935806400).

1148918904 is an abundant number, since it is smaller than the sum of its proper divisors (2722693896).

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

1148918904 is a wasteful number, since it uses less digits than its factorization.

1148918904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13375 (or 13362 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1148918904 is about 33895.7062767543. The cubic root of 1148918904 is about 1047.3611450267.

The spelling of 1148918904 in words is "one billion, one hundred forty-eight million, nine hundred eighteen thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 19 21 24 27 28 36 38 42 54 56 57 63 72 76 81 84 108 114 126 133 152 162 168 171 189 216 228 252 266 324 342 378 399 456 504 513 532 567 648 684 756 798 1026 1064 1134 1197 1368 1512 1539 1596 2052 2268 2394 3078 3192 3591 4104 4536 4788 6156 7182 9576 10773 12312 13331 14364 21546 26662 28728 39993 43092 53324 79986 86184 93317 106648 119979 159972 186634 239958 253289 279951 319944 359937 373268 479916 506578 559902 719874 746536 759867 839853 959832 1013156 1079811 1119804 1439748 1519734 1679706 1773023 2026312 2159622 2239608 2279601 2519559 2879496 3039468 3359412 3546046 4319244 4559202 5039118 5319069 6078936 6718824 6838803 7092092 7558677 8638488 9118404 10078236 10638138 13677606 14184184 15117354 15957207 18236808 20156472 20516409 21276276 27355212 30234708 31914414 41032818 42552552 47871621 54710424 60469416 63828828 82065636 95743242 127657656 143614863 164131272 191486484 287229726 382972968 574459452 1148918904