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1000216604328 = 233167866328807
BaseRepresentation
bin11101000111000011000…
…11100010111010101000
310112121201211000001202120
432203201203202322220
5112341420422314303
62043254305031240
7132156204600354
oct16434143427250
93477654001676
101000216604328
1135620a219a37
12141a22625520
1373421117796
14365a710c464
151b0407a0553
hexe8e18e2ea8

1000216604328 has 64 divisors (see below), whose sum is σ = 2515892520960. Its totient is φ = 331359335616.

The previous prime is 1000216604323. The next prime is 1000216604347. The reversal of 1000216604328 is 8234066120001.

It is a super-3 number, since 3×10002166043283 (a number of 37 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (1000216604323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34706901 + ... + 34735707.

It is an arithmetic number, because the mean of its divisors is an integer number (39310820640).

Almost surely, 21000216604328 is an apocalyptic number.

It is an amenable number.

1000216604328 is an abundant number, since it is smaller than the sum of its proper divisors (1515675916632).

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

1000216604328 is a wasteful number, since it uses less digits than its factorization.

1000216604328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37646 (or 37642 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The spelling of 1000216604328 in words is "one trillion, two hundred sixteen million, six hundred four thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 24 167 334 501 668 1002 1336 2004 4008 8663 17326 25989 28807 34652 51978 57614 69304 86421 103956 115228 172842 207912 230456 345684 691368 1446721 2893442 4340163 4810769 5786884 8680326 9621538 11573768 14432307 17360652 19243076 28864614 34721304 38486152 57729228 115458456 249555041 499110082 748665123 998220164 1497330246 1996440328 2994660492 5989320984 41675691847 83351383694 125027075541 166702767388 250054151082 333405534776 500108302164 1000216604328