Search a number
-
+
1166790006234 = 232292531519631
BaseRepresentation
bin10000111110101010000…
…110101001010111011010
311010112200121020121222100
4100332222012221113122
5123104041220144414
62252003235104230
7150204100261536
oct20765206512732
94115617217870
101166790006234
1140a9185a4256
1216a16b742076
1386049195318
1440689a52bc6
152053e38c609
hex10faa1a95da

1166790006234 has 144 divisors (see below), whose sum is σ = 2685570660864. Its totient is φ = 365955408000.

The previous prime is 1166790006229. The next prime is 1166790006257. The reversal of 1166790006234 is 4326000976611.

1166790006234 is a `hidden beast` number, since 1 + 16 + 6 + 7 + 9 + 0 + 0 + 0 + 623 + 4 = 666.

It is a super-2 number, since 2×11667900062342 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1166790006234.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 121144599 + ... + 121154229.

It is an arithmetic number, because the mean of its divisors is an integer number (18649796256).

Almost surely, 21166790006234 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1166790006234, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342785330432).

1166790006234 is an abundant number, since it is smaller than the sum of its proper divisors (1518780654630).

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

1166790006234 is a wasteful number, since it uses less digits than its factorization.

1166790006234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9901 (or 9869 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 1166790006234 in words is "one trillion, one hundred sixty-six billion, seven hundred ninety million, six thousand, two hundred thirty-four".

Divisors: 1 2 3 6 9 18 29 53 58 87 106 151 159 174 261 302 318 453 477 522 841 906 954 1359 1537 1682 2523 2718 3074 4379 4611 5046 7569 8003 8758 9222 9631 13137 13833 15138 16006 19262 24009 26274 27666 28893 39411 44573 48018 57786 72027 78822 86679 89146 126991 133719 144054 173358 232087 253982 267438 279299 380973 401157 464174 510443 558598 696261 761946 802314 837897 1020886 1142919 1392522 1454281 1531329 1675794 2088783 2285838 2513691 2908562 3062658 4177566 4362843 4593987 5027382 6730523 8099671 8725686 9187974 13088529 13461046 14802847 16199342 20191569 24299013 26177058 29605694 40383138 42174149 44408541 48598026 60574707 72897039 77076893 84348298 88817082 121149414 126522447 133225623 145794078 154153786 231230679 253044894 266451246 379567341 429282563 462461358 693692037 759134682 858565126 1223050321 1287847689 1387384074 2235229897 2446100642 2575695378 3669150963 3863543067 4470459794 6705689691 7338301926 7727086134 11007452889 13411379382 20117069073 22014905778 40234138146 64821667013 129643334026 194465001039 388930002078 583395003117 1166790006234