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1163112453456 = 2432321117892791
BaseRepresentation
bin10000111011001110111…
…001111001010101010000
311010012012022021120221220
4100323032321321111100
5123024023242002311
62250154304245040
7150014003505402
oct20731671712520
94105168246856
101163112453456
11409300726438
12169504010780
13858b13009a5
144041b476b72
15203c65ac206
hex10ecee79550

1163112453456 has 160 divisors (see below), whose sum is σ = 3153096284160. Its totient is φ = 368751398400.

The previous prime is 1163112453443. The next prime is 1163112453457. The reversal of 1163112453456 is 6543542113611.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1163112453457) 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, 416735421 + ... + 416738211.

It is an arithmetic number, because the mean of its divisors is an integer number (19706851776).

Almost surely, 21163112453456 is an apocalyptic number.

1163112453456 is a gapful number since it is divisible by the number (16) 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 1163112453456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576548142080).

1163112453456 is an abundant number, since it is smaller than the sum of its proper divisors (1989983830704).

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

1163112453456 is a wasteful number, since it uses less digits than its factorization.

1163112453456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4825 (or 4819 counting only the distinct ones).

The product of its digits is 259200, while the sum is 42.

The spelling of 1163112453456 in words is "one trillion, one hundred sixty-three billion, one hundred twelve million, four hundred fifty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 211 276 368 422 552 633 844 1104 1266 1688 1789 2532 2791 3376 3578 4853 5064 5367 5582 7156 8373 9706 10128 10734 11164 14312 14559 16746 19412 21468 22328 28624 29118 33492 38824 41147 42936 44656 58236 64193 66984 77648 82294 85872 116472 123441 128386 133968 164588 192579 232944 246882 256772 329176 377479 385158 493764 513544 588901 658352 754958 770316 987528 1027088 1132437 1177802 1509916 1540632 1766703 1975056 2264874 2355604 3019832 3081264 3533406 4529748 4711208 4993099 6039664 7066812 8682017 9059496 9422416 9986198 13544723 14133624 14979297 17364034 18118992 19972396 26046051 27089446 28267248 29958594 34728068 39944792 40634169 52092102 54178892 59917188 69456136 79889584 81268338 104184204 108357784 114841277 119834376 138912272 162536676 208368408 216715568 229682554 239668752 325073352 344523831 416736816 459365108 650146704 689047662 918730216 1053543889 1378095324 1837460432 2107087778 2756190648 3160631667 4214175556 5512381296 6321263334 8428351112 12642526668 16856702224 24231509447 25285053336 48463018894 50570106672 72694528341 96926037788 145389056682 193852075576 290778113364 387704151152 581556226728 1163112453456