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834790489632 = 253211318500229
BaseRepresentation
bin11000010010111010110…
…00111111111000100000
32221210201222120201201200
430021131120333320200
5102134122331132012
61435255241201200
7114211613040651
oct14113530777040
92853658521650
10834790489632
112a203a517570
12115955790200
1360949966308
142c592ad5528
1516aac78a3dc
hexc25d63fe20

834790489632 has 144 divisors (see below), whose sum is σ = 2673288334080. Its totient is φ = 244806566400.

The previous prime is 834790489597. The next prime is 834790489747. The reversal of 834790489632 is 236984097438.

834790489632 is a `hidden beast` number, since 8 + 3 + 4 + 7 + 90 + 489 + 63 + 2 = 666.

834790489632 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 834790489632.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4151907 + ... + 4348322.

It is an arithmetic number, because the mean of its divisors is an integer number (18564502320).

Almost surely, 2834790489632 is an apocalyptic number.

It is an amenable number.

834790489632 is an abundant number, since it is smaller than the sum of its proper divisors (1838497844448).

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

834790489632 is a wasteful number, since it uses less digits than its factorization.

834790489632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8500287 (or 8500276 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

The spelling of 834790489632 in words is "eight hundred thirty-four billion, seven hundred ninety million, four hundred eighty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 31 32 33 36 44 48 62 66 72 88 93 96 99 124 132 144 176 186 198 248 264 279 288 341 352 372 396 496 528 558 682 744 792 992 1023 1056 1116 1364 1488 1584 2046 2232 2728 2976 3069 3168 4092 4464 5456 6138 8184 8928 10912 12276 16368 24552 32736 49104 98208 8500229 17000458 25500687 34000916 51001374 68001832 76502061 93502519 102002748 136003664 153004122 187005038 204005496 263507099 272007328 280507557 306008244 374010076 408010992 527014198 561015114 612016488 748020152 790521297 816021984 841522671 1054028396 1122030228 1224032976 1496040304 1581042594 1683045342 2108056792 2244060456 2371563891 2448065952 2898578089 2992080608 3162085188 3366090684 4216113584 4488120912 4743127782 5797156178 6324170376 6732181368 8432227168 8695734267 8976241824 9486255564 11594312356 12648340752 13464362736 17391468534 18972511128 23188624712 25296681504 26087202801 26928725472 34782937068 37945022256 46377249424 52174405602 69565874136 75890044512 92754498848 104348811204 139131748272 208697622408 278263496544 417395244816 834790489632