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6746801376 = 253726721407
BaseRepresentation
bin1100100100010010…
…00000010011100000
3122102012022000120110
412102021000103200
5102304140121001
63033251211320
7326122602600
oct62211002340
918365260513
106746801376
112952436807
1213835a6b40
13836a13683
1448008ac00
152974a23d6
hex1922404e0

6746801376 has 144 divisors (see below), whose sum is σ = 20910306816. Its totient is φ = 1898797824.

The previous prime is 6746801353. The next prime is 6746801381. The reversal of 6746801376 is 6731086476.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 304465 + ... + 325871.

It is an arithmetic number, because the mean of its divisors is an integer number (145210464).

Almost surely, 26746801376 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 6746801376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455153408).

6746801376 is an abundant number, since it is smaller than the sum of its proper divisors (14163505440).

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

6746801376 is a wasteful number, since it uses less digits than its factorization.

6746801376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21501 (or 21486 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The square root of 6746801376 is about 82138.9151133615. The cubic root of 6746801376 is about 1889.5830081428.

The spelling of 6746801376 in words is "six billion, seven hundred forty-six million, eight hundred one thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 67 84 96 98 112 134 147 168 196 201 224 268 294 336 392 402 469 536 588 672 784 804 938 1072 1176 1407 1568 1608 1876 2144 2352 2814 3216 3283 3752 4704 5628 6432 6566 7504 9849 11256 13132 15008 19698 21407 22512 26264 39396 42814 45024 52528 64221 78792 85628 105056 128442 149849 157584 171256 256884 299698 315168 342512 449547 513768 599396 685024 899094 1027536 1048943 1198792 1434269 1798188 2055072 2097886 2397584 2868538 3146829 3596376 4195772 4302807 4795168 5737076 6293658 7192752 8391544 8605614 10039883 11474152 12587316 14385504 16783088 17211228 20079766 22948304 25174632 30119649 33566176 34422456 40159532 45896608 50349264 60239298 68844912 70279181 80319064 100698528 120478596 137689824 140558362 160638128 210837543 240957192 281116724 321276256 421675086 481914384 562233448 843350172 963828768 1124466896 1686700344 2248933792 3373400688 6746801376