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1000475442304 = 27131673600283
BaseRepresentation
bin11101000111100001111…
…10111011110010000000
310112122101212001101201021
432203300332323302000
5112342433203123204
62043340112515224
7132165466642132
oct16436076736200
93478355041637
101000475442304
11356332339818
12141a9524bb14
1373462932b50
14365cd649052
151b05837d154
hexe8f0fbbc80

1000475442304 has 64 divisors (see below), whose sum is σ = 2159306331840. Its totient is φ = 458992751616.

The previous prime is 1000475442301. The next prime is 1000475442341. The reversal of 1000475442304 is 4032445740001.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×10004754423042 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1000475442304.

It is not an unprimeable number, because it can be changed into a prime (1000475442301) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1522254 + ... + 2078029.

It is an arithmetic number, because the mean of its divisors is an integer number (33739161435).

Almost surely, 21000475442304 is an apocalyptic number.

It is an amenable number.

1000475442304 is an abundant number, since it is smaller than the sum of its proper divisors (1158830889536).

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

1000475442304 is a wasteful number, since it uses less digits than its factorization.

1000475442304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3600477 (or 3600465 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 34.

The spelling of 1000475442304 in words is "one trillion, four hundred seventy-five million, four hundred forty-two thousand, three hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 167 208 334 416 668 832 1336 1664 2171 2672 4342 5344 8684 10688 17368 21376 34736 69472 138944 277888 3600283 7200566 14401132 28802264 46803679 57604528 93607358 115209056 187214716 230418112 374429432 460836224 601247261 748858864 1202494522 1497717728 2404989044 2995435456 4809978088 5990870912 7816214393 9619956176 15632428786 19239912352 31264857572 38479824704 62529715144 76959649408 125059430288 250118860576 500237721152 1000475442304