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1163390206956 = 2231959231137423
BaseRepresentation
bin10000111011011111011…
…101011100001111101100
311010012220122220221010120
4100323133131130033230
5123030110343110311
62250242025404540
7150023615411355
oct20733735341754
94105818827116
101163390206956
1140943349578a
12169581039750
1385926a0c983
14404462d8d2c
15203e0b74706
hex10edf75c3ec

1163390206956 has 96 divisors (see below), whose sum is σ = 2907216076800. Its totient is φ = 360993568320.

The previous prime is 1163390206931. The next prime is 1163390206991. The reversal of 1163390206956 is 6596020933611.

It is a happy number.

It is a super-2 number, since 2×11633902069562 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1163390206899 and 1163390206908.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31068861 + ... + 31106283.

It is an arithmetic number, because the mean of its divisors is an integer number (30283500800).

Almost surely, 21163390206956 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1163390206956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453608038400).

1163390206956 is an abundant number, since it is smaller than the sum of its proper divisors (1743825869844).

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

1163390206956 is a wasteful number, since it uses less digits than its factorization.

1163390206956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39819 (or 39817 counting only the distinct ones).

The product of its (nonzero) digits is 1574640, while the sum is 51.

The spelling of 1163390206956 in words is "one trillion, one hundred sixty-three billion, three hundred ninety million, two hundred six thousand, nine hundred fifty-six".

Divisors: 1 2 3 4 6 12 19 38 57 59 76 114 118 177 228 236 354 708 1121 2242 2311 3363 4484 4622 6726 6933 9244 13452 13866 27732 37423 43909 74846 87818 112269 131727 136349 149692 175636 224538 263454 272698 409047 449076 526908 545396 711037 818094 1422074 1636188 2133111 2207957 2590631 2844148 4266222 4415914 5181262 6623871 7771893 8532444 8831828 10362524 13247742 15543786 26495484 31087572 41951183 83902366 86484553 125853549 167804732 172969106 251707098 259453659 345938212 503414196 518907318 1037814636 1643206507 3286413014 4929619521 5102588627 6572826028 9859239042 10205177254 15307765881 19718478084 20410354508 30615531762 61231063524 96949183913 193898367826 290847551739 387796735652 581695103478 1163390206956