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683700289152 = 27317910339629
BaseRepresentation
bin10011111001011111011…
…01100111111010000000
32102100202020201021221120
421330233231213322000
542200204233223102
61242030525552240
7100252505366436
oct11745755477200
92370666637846
10683700289152
11243a56a97691
12b0609a15680
134c61b58771a
142513c636d56
1512bb810d6bc
hex9f2fb67e80

683700289152 has 128 divisors (see below), whose sum is σ = 1828182312000. Its totient is φ = 226384011264.

The previous prime is 683700289039. The next prime is 683700289163. The reversal of 683700289152 is 251982007386.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 683700289095 and 683700289104.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70999474 + ... + 71009102.

Almost surely, 2683700289152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 683700289152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (914091156000).

683700289152 is an abundant number, since it is smaller than the sum of its proper divisors (1144482022848).

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

683700289152 is a wasteful number, since it uses less digits than its factorization.

683700289152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10858 (or 10846 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 683700289152 in words is "six hundred eighty-three billion, seven hundred million, two hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 179 192 358 384 537 716 1033 1074 1432 2066 2148 2864 3099 4132 4296 5728 6198 8264 8592 9629 11456 12396 16528 17184 19258 22912 24792 28887 33056 34368 38516 49584 57774 66112 68736 77032 99168 115548 132224 154064 184907 198336 231096 308128 369814 396672 462192 554721 616256 739628 924384 1109442 1232512 1479256 1723591 1848768 2218884 2958512 3447182 3697536 4437768 5170773 5917024 6894364 8875536 9946757 10341546 11834048 13788728 17751072 19893514 20683092 23668096 27577456 29840271 35502144 39787028 41366184 55154912 59680542 71004288 79574056 82732368 110309824 119361084 159148112 165464736 220619648 238722168 318296224 330929472 477444336 636592448 661858944 954888672 1273184896 1780469503 1909777344 3560939006 3819554688 5341408509 7121878012 10682817018 14243756024 21365634036 28487512048 42731268072 56975024096 85462536144 113950048192 170925072288 227900096384 341850144576 683700289152