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6945271074 = 233722990511
BaseRepresentation
bin1100111011111100…
…00110110100100010
3122221000202022211000
412131332012310202
5103210442133244
63105101132430
7334052554500
oct63576066442
918830668730
106945271074
112a44473a55
121419b5a116
13868b83271
1449c591670
152a9b08169
hex19df86d22

6945271074 has 96 divisors (see below), whose sum is σ = 18573062400. Its totient is φ = 1915915680.

The previous prime is 6945271043. The next prime is 6945271079. The reversal of 6945271074 is 4701725496.

6945271074 is a `hidden beast` number, since 69 + 452 + 71 + 0 + 74 = 666.

It is a super-2 number, since 2×69452710742 = 96473580582682226952, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (6945271079) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31479 + ... + 121989.

It is an arithmetic number, because the mean of its divisors is an integer number (193469400).

Almost surely, 26945271074 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6945271074, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9286531200).

6945271074 is an abundant number, since it is smaller than the sum of its proper divisors (11627791326).

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

6945271074 is a wasteful number, since it uses less digits than its factorization.

6945271074 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90565 (or 90552 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The square root of 6945271074 is about 83338.2929630791. The cubic root of 6945271074 is about 1907.9327682888.

The spelling of 6945271074 in words is "six billion, nine hundred forty-five million, two hundred seventy-one thousand, seventy-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 29 42 49 54 58 63 87 98 126 147 174 189 203 261 294 378 406 441 522 609 783 882 1218 1323 1421 1566 1827 2646 2842 3654 4263 5481 8526 10962 12789 25578 38367 76734 90511 181022 271533 543066 633577 814599 1267154 1629198 1900731 2443797 2624819 3801462 4435039 4887594 5249638 5702193 7874457 8870078 11404386 13305117 15748914 17106579 18373733 23623371 26610234 34213158 36747466 39915351 47246742 55121199 70870113 79830702 110242398 119746053 128616131 141740226 165363597 239492106 257232262 330727194 385848393 496090791 771696786 992181582 1157545179 2315090358 3472635537 6945271074