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3798034045344 = 2532711171267769
BaseRepresentation
bin110111010001001100011…
…110000101100110100000
3111110002101112010011122100
4313101030132011212200
5444211333203422334
612024443122410400
7541253552501640
oct67211436054640
914402345104570
103798034045344
111234812227660
12514101b00a00
132171cb3c25a6
14d1b7c106520
1568be014ac99
hex3744c7859a0

3798034045344 has 144 divisors (see below), whose sum is σ = 13465757148480. Its totient is φ = 986502343680.

The previous prime is 3798034045327. The next prime is 3798034045349. The reversal of 3798034045344 is 4435404308973.

It is a happy number.

3798034045344 is a `hidden beast` number, since 3 + 79 + 8 + 0 + 34 + 0 + 4 + 534 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (3798034045349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85611709 + ... + 85656060.

It is an arithmetic number, because the mean of its divisors is an integer number (93512202420).

Almost surely, 23798034045344 is an apocalyptic number.

It is an amenable number.

3798034045344 is an abundant number, since it is smaller than the sum of its proper divisors (9667723103136).

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

3798034045344 is a wasteful number, since it uses less digits than its factorization.

3798034045344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171267803 (or 171267792 counting only the distinct ones).

The product of its (nonzero) digits is 17418240, while the sum is 54.

The spelling of 3798034045344 in words is "three trillion, seven hundred ninety-eight billion, thirty-four million, forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 171267769 342535538 513803307 685071076 1027606614 1198874383 1370142152 1541409921 1883945459 2055213228 2397748766 2740284304 3082819842 3596623149 3767890918 4110426456 4795497532 5480568608 5651836377 6165639684 7193246298 7535781836 8220852912 9590995064 10789869447 11303672754 12331279368 13187618213 14386492596 15071563672 16441705824 16955509131 19181990128 21579738894 22607345508 24662558736 26375236426 28772985192 30143127344 33911018262 38363980256 39562854639 43159477788 45214691016 49325117472 52750472852 57545970384 60286254688 67822036524 79125709278 86318955576 90429382032 105500945704 115091940768 118688563917 135644073048 158251418556 172637911152 180858764064 211001891408 237377127834 271288146096 316502837112 345275822304 422003782816 474754255668 542576292192 633005674224 949508511336 1266011348448 1899017022672 3798034045344