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1428490163616 = 253292531202729
BaseRepresentation
bin10100110010011000101…
…001100001010110100000
312001120011221021001200220
4110302120221201112200
5141401021440213431
63012123405443040
7205130214022365
oct24623051412640
95046157231626
101428490163616
1150090150295a
121b0a26570480
13a4924244759
144d1d431046c
1527259449b96
hex14c98a615a0

1428490163616 has 96 divisors (see below), whose sum is σ = 3880641441600. Its totient is φ = 459560048640.

The previous prime is 1428490163591. The next prime is 1428490163647. The reversal of 1428490163616 is 6163610948241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6944940 + ... + 7147668.

It is an arithmetic number, because the mean of its divisors is an integer number (40423348350).

Almost surely, 21428490163616 is an apocalyptic number.

1428490163616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1428490163616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1940320720800).

1428490163616 is an abundant number, since it is smaller than the sum of its proper divisors (2452151277984).

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

1428490163616 is a wasteful number, since it uses less digits than its factorization.

1428490163616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205302 (or 205294 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 51.

The spelling of 1428490163616 in words is "one trillion, four hundred twenty-eight billion, four hundred ninety million, one hundred sixty-three thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 1392 2531 2784 5062 7593 10124 15186 20248 30372 40496 60744 73399 80992 121488 146798 202729 220197 242976 293596 405458 440394 587192 608187 810916 880788 1174384 1216374 1621832 1761576 2348768 2432748 3243664 3523152 4865496 5879141 6487328 7046304 9730992 11758282 17637423 19461984 23516564 35274846 47033128 70549692 94066256 141099384 188132512 282198768 513107099 564397536 1026214198 1539321297 2052428396 3078642594 4104856792 6157285188 8209713584 12314570376 14880105871 16419427168 24629140752 29760211742 44640317613 49258281504 59520423484 89280635226 119040846968 178561270452 238081693936 357122540904 476163387872 714245081808 1428490163616