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6920478674208 = 2532117512908781
BaseRepresentation
bin110010010110100110010…
…1011000100110100100000
3220111120222001120001221200
41210231030223010310200
51401341120020033313
622415120215321200
71312662625102221
oct144551453046440
926446861501850
106920478674208
112228a5a882290
1293929a380200
133b27a171cbb8
1419cd4aca1248
15c003e284b73
hex64b4cac4d20

6920478674208 has 144 divisors (see below), whose sum is σ = 21497807140992. Its totient is φ = 2094321600000.

The previous prime is 6920478674191. The next prime is 6920478674237. The reversal of 6920478674208 is 8024768740296.

6920478674208 is a `hidden beast` number, since 6 + 92 + 0 + 47 + 86 + 7 + 420 + 8 = 666.

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

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, 924778 + ... + 3833558.

It is an arithmetic number, because the mean of its divisors is an integer number (149290327368).

Almost surely, 26920478674208 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 6920478674208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10748903570496).

6920478674208 is an abundant number, since it is smaller than the sum of its proper divisors (14577328466784).

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

6920478674208 is a wasteful number, since it uses less digits than its factorization.

6920478674208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2909559 (or 2909548 counting only the distinct ones).

The product of its (nonzero) digits is 65028096, while the sum is 63.

The spelling of 6920478674208 in words is "six trillion, nine hundred twenty billion, four hundred seventy-eight million, six hundred seventy-four thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 176 198 264 288 352 396 528 751 792 1056 1502 1584 2253 3004 3168 4506 6008 6759 8261 9012 12016 13518 16522 18024 24032 24783 27036 33044 36048 49566 54072 66088 72096 74349 99132 108144 132176 148698 198264 216288 264352 297396 396528 594792 793056 1189584 2379168 2908781 5817562 8726343 11635124 17452686 23270248 26179029 31996591 34905372 46540496 52358058 63993182 69810744 93080992 95989773 104716116 127986364 139621488 191979546 209432232 255972728 279242976 287969319 383959092 418864464 511945456 575938638 767918184 837728928 1023890912 1151877276 1535836368 2184494531 2303754552 3071672736 4368989062 4607509104 6553483593 8737978124 9215018208 13106967186 17475956248 19660450779 24029439841 26213934372 34951912496 39320901558 48058879682 52427868744 69903824992 72088319523 78641803116 96117759364 104855737488 144176639046 157283606232 192235518728 209711474976 216264958569 288353278092 314567212464 384471037456 432529917138 576706556184 629134424928 768942074912 865059834276 1153413112368 1730119668552 2306826224736 3460239337104 6920478674208