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6746669952 = 273114913253
BaseRepresentation
bin1100100100010001…
…00000001110000000
3122102012001100021220
412102020200032000
5102304121414302
63033244315040
7326121514461
oct62210401600
918365040256
106746669952
112952356aa0
121383542a80
138369988c9
14480054d68
152974784bc
hex192220380

6746669952 has 128 divisors (see below), whose sum is σ = 19595848320. Its totient is φ = 2039654400.

The previous prime is 6746669933. The next prime is 6746669977. The reversal of 6746669952 is 2599666476.

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

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, 2072358 + ... + 2075610.

It is an arithmetic number, because the mean of its divisors is an integer number (153092565).

Almost surely, 26746669952 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 6746669952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9797924160).

6746669952 is an abundant number, since it is smaller than the sum of its proper divisors (12849178368).

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

6746669952 is a wasteful number, since it uses less digits than its factorization.

6746669952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3772 (or 3760 counting only the distinct ones).

The product of its digits is 29393280, while the sum is 60.

The square root of 6746669952 is about 82138.1150988991. The cubic root of 6746669952 is about 1889.5707387153.

The spelling of 6746669952 in words is "six billion, seven hundred forty-six million, six hundred sixty-nine thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 128 132 176 192 264 352 384 491 528 704 982 1056 1408 1473 1964 2112 2946 3253 3928 4224 5401 5892 6506 7856 9759 10802 11784 13012 15712 16203 19518 21604 23568 26024 31424 32406 35783 39036 43208 47136 52048 62848 64812 71566 78072 86416 94272 104096 107349 129624 143132 156144 172832 188544 208192 214698 259248 286264 312288 345664 416384 429396 518496 572528 624576 691328 858792 1036992 1145056 1249152 1597223 1717584 2073984 2290112 3194446 3435168 4580224 4791669 6388892 6870336 9583338 12777784 13740672 17569453 19166676 25555568 35138906 38333352 51111136 52708359 70277812 76666704 102222272 105416718 140555624 153333408 204444544 210833436 281111248 306666816 421666872 562222496 613333632 843333744 1124444992 1686667488 2248889984 3373334976 6746669952