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1670794435744 = 257174211042183
BaseRepresentation
bin11000010100000011000…
…110111101110010100000
312220201121112111102210221
4120110003012331302200
5204333241333420434
63315315151132424
7231465562243630
oct30240306756240
95821545442727
101670794435744
115946419a0925
1222b989814114
13c172ab259c5
145ac1ca206c0
152d6db81d2b4
hex185031bdca0

1670794435744 has 96 divisors (see below), whose sum is σ = 3989880550656. Its totient is φ = 672332451840.

The previous prime is 1670794435729. The next prime is 1670794435813. The reversal of 1670794435744 is 4475344970761.

It is a super-2 number, since 2×16707944357442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1082077 + ... + 2124259.

It is an arithmetic number, because the mean of its divisors is an integer number (41561255736).

Almost surely, 21670794435744 is an apocalyptic number.

1670794435744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1670794435744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1994940275328).

1670794435744 is an abundant number, since it is smaller than the sum of its proper divisors (2319086114912).

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

1670794435744 is a wasteful number, since it uses less digits than its factorization.

1670794435744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042638 (or 1042630 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 61.

The spelling of 1670794435744 in words is "one trillion, six hundred seventy billion, seven hundred ninety-four million, four hundred thirty-five thousand, seven hundred forty-four".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 68 112 119 136 224 238 272 421 476 544 842 952 1684 1904 2947 3368 3808 5894 6736 7157 11788 13472 14314 23576 28628 47152 50099 57256 94304 100198 114512 200396 229024 400792 801584 1042183 1603168 2084366 4168732 7295281 8337464 14590562 16674928 17717111 29181124 33349856 35434222 58362248 70868444 116724496 124019777 141736888 233448992 248039554 283473776 438759043 496079108 566947552 877518086 992158216 1755036172 1984316432 3071313301 3510072344 3968632864 6142626602 7020144688 7458903731 12285253204 14040289376 14917807462 24570506408 29835614924 49141012816 52212326117 59671229848 98282025632 104424652234 119342459696 208849304468 238684919392 417698608936 835397217872 1670794435744