Search a number
-
+
96786600289056 = 25321721162853233
BaseRepresentation
bin10110000000011011100010…
…111011011110001100100000
3110200200201010120211201112200
4112000123202323132030200
5100141222424133222211
6541503052250453200
726246413116234366
oct2600334273361440
9420621116751480
1096786600289056
1128925a6a707127
12aa31a84734200
134200c25185342
1419c86d4381636
15b2c99554bb56
hex5806e2ede320

96786600289056 has 108 divisors (see below), whose sum is σ = 292379677184322. Its totient is φ = 30364423593984.

The previous prime is 96786600288977. The next prime is 96786600289087. The reversal of 96786600289056 is 65098200668769.

96786600289056 is a `hidden beast` number, since 9 + 6 + 7 + 8 + 6 + 600 + 2 + 8 + 9 + 0 + 5 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 91150173507600 + 5636426781456 = 9547260^2 + 2374116^2 .

It is a super-2 number, since 2×967866002890562 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 581343385 + ... + 581509848.

Almost surely, 296786600289056 is an apocalyptic number.

96786600289056 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

96786600289056 is an abundant number, since it is smaller than the sum of its proper divisors (195593076895266).

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

96786600289056 is a wasteful number, since it uses less digits than its factorization.

96786600289056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1162853283 (or 1162853255 counting only the distinct ones).

The product of its (nonzero) digits is 470292480, while the sum is 72.

The spelling of 96786600289056 in words is "ninety-six trillion, seven hundred eighty-six billion, six hundred million, two hundred eighty-nine thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 68 72 96 102 136 144 153 204 272 288 289 306 408 544 578 612 816 867 1156 1224 1632 1734 2312 2448 2601 3468 4624 4896 5202 6936 9248 10404 13872 20808 27744 41616 83232 1162853233 2325706466 3488559699 4651412932 6977119398 9302825864 10465679097 13954238796 18605651728 19768504961 20931358194 27908477592 37211303456 39537009922 41862716388 55816955184 59305514883 79074019844 83725432776 111633910368 118611029766 158148039688 167450865552 177916544649 237222059532 316296079376 334901731104 336064584337 355833089298 474444119064 632592158752 672129168674 711666178596 948888238128 1008193753011 1344258337348 1423332357192 1897776476256 2016387506022 2688516674696 2846664714384 3024581259033 4032775012044 5377033349392 5693329428768 6049162518066 8065550024088 10754066698784 12098325036132 16131100048176 24196650072264 32262200096352 48393300144528 96786600289056