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6745984128 = 273313150151
BaseRepresentation
bin1100100100001011…
…11000110010000000
3122102010202111112000
412102011320302000
5102303432443003
63033221504000
7326112630132
oct62205706200
918363674460
106745984128
112951a287a4
121383272000
138367b86b0
1447dd17052
152973901a3
hex192178c80

6745984128 has 128 divisors (see below), whose sum is σ = 21441705600. Its totient is φ = 2075673600.

The previous prime is 6745984097. The next prime is 6745984129. The reversal of 6745984128 is 8214895476.

It is a happy number.

6745984128 is a `hidden beast` number, since 6 + 7 + 4 + 598 + 41 + 2 + 8 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (6745984129) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30148 + ... + 120003.

It is an arithmetic number, because the mean of its divisors is an integer number (167513325).

Almost surely, 26745984128 is an apocalyptic number.

It is an amenable number.

6745984128 is an abundant number, since it is smaller than the sum of its proper divisors (14695721472).

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

6745984128 is a wasteful number, since it uses less digits than its factorization.

6745984128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150187 (or 150169 counting only the distinct ones).

The product of its digits is 3870720, while the sum is 54.

The square root of 6745984128 is about 82133.9401709184. The cubic root of 6745984128 is about 1889.5067092566.

The spelling of 6745984128 in words is "six billion, seven hundred forty-five million, nine hundred eighty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5616 7488 11232 14976 22464 44928 150151 300302 450453 600604 900906 1201208 1351359 1801812 1951963 2402416 2702718 3603624 3903926 4054077 4804832 5405436 5855889 7207248 7807852 8108154 9609664 10810872 11711778 14414496 15615704 16216308 17567667 19219328 21621744 23423556 28828992 31231408 32432616 35135334 43243488 46847112 52703001 57657984 62462816 64865232 70270668 86486976 93694224 105406002 124925632 129730464 140541336 172973952 187388448 210812004 249851264 259460928 281082672 374776896 421624008 518921856 562165344 749553792 843248016 1124330688 1686496032 2248661376 3372992064 6745984128