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1085429604096 = 2833612574353
BaseRepresentation
bin11111100101110001010…
…01010101111100000000
310211202200110021222002000
433302320221111330000
5120240424434312341
62150350043224000
7141263646256125
oct17627051257400
93752613258060
101085429604096
11389367794992
12156444218000
137b481267536
143a76c35274c
151d37b74b8b6
hexfcb8a55f00

1085429604096 has 144 divisors (see below), whose sum is σ = 3262427337120. Its totient is φ = 355878420480.

The previous prime is 1085429604089. The next prime is 1085429604223. The reversal of 1085429604096 is 6904069245801.

1085429604096 is a `hidden beast` number, since 1 + 0 + 8 + 5 + 4 + 29 + 604 + 0 + 9 + 6 = 666.

1085429604096 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 Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 865545 + ... + 1708808.

Almost surely, 21085429604096 is an apocalyptic number.

1085429604096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1085429604096 is an abundant number, since it is smaller than the sum of its proper divisors (2176997733024).

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

1085429604096 is an equidigital number, since it uses as much as digits as its factorization.

1085429604096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2574439 (or 2574419 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 1085429604096 in words is "one trillion, eighty-five billion, four hundred twenty-nine million, six hundred four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 61 64 72 96 108 122 128 144 183 192 216 244 256 288 366 384 432 488 549 576 732 768 864 976 1098 1152 1464 1647 1728 1952 2196 2304 2928 3294 3456 3904 4392 5856 6588 6912 7808 8784 11712 13176 15616 17568 23424 26352 35136 46848 52704 70272 105408 140544 210816 421632 2574353 5148706 7723059 10297412 15446118 20594824 23169177 30892236 41189648 46338354 61784472 69507531 82379296 92676708 123568944 139015062 157035533 164758592 185353416 247137888 278030124 314071066 329517184 370706832 471106599 494275776 556060248 628142132 659034368 741413664 942213198 988551552 1112120496 1256284264 1413319797 1482827328 1884426396 1977103104 2224240992 2512568528 2826639594 2965654656 3768852792 4239959391 4448481984 5025137056 5653279188 5931309312 7537705584 8479918782 8896963968 10050274112 11306558376 15075411168 16959837564 17793927936 20100548224 22613116752 30150822336 33919675128 40201096448 45226233504 60301644672 67839350256 90452467008 120603289344 135678700512 180904934016 271357401024 361809868032 542714802048 1085429604096