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6425120016 = 243373168539
BaseRepresentation
bin1011111101111011…
…11000110100010000
3121120202222220201000
411332331320310100
5101124312320031
62541320342000
7315135422220
oct57675706420
917522886630
106425120016
1127a78a3847
1212b3914900
137b5194083
1444d472080
1527910e3e6
hex17ef78d10

6425120016 has 160 divisors (see below), whose sum is σ = 21757337600. Its totient is φ = 1776504960.

The previous prime is 6425119999. The next prime is 6425120021. The reversal of 6425120016 is 6100215246.

6425120016 is a `hidden beast` number, since 642 + 5 + 1 + 2 + 0 + 0 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 59475 + ... + 128013.

It is an arithmetic number, because the mean of its divisors is an integer number (135983360).

Almost surely, 26425120016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6425120016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10878668800).

6425120016 is an abundant number, since it is smaller than the sum of its proper divisors (15332217584).

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

6425120016 is a wasteful number, since it uses less digits than its factorization.

6425120016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68594 (or 68582 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 6425120016 is about 80156.8463451501. The cubic root of 6425120016 is about 1859.0614619863.

The spelling of 6425120016 in words is "six billion, four hundred twenty-five million, one hundred twenty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 31 36 42 48 54 56 62 63 72 84 93 108 112 124 126 144 168 186 189 216 217 248 252 279 336 372 378 432 434 496 504 558 651 744 756 837 868 1008 1116 1302 1488 1512 1674 1736 1953 2232 2604 3024 3348 3472 3906 4464 5208 5859 6696 7812 10416 11718 13392 15624 23436 31248 46872 68539 93744 137078 205617 274156 411234 479773 548312 616851 822468 959546 1096624 1233702 1439319 1644936 1850553 1919092 2124709 2467404 2878638 3289872 3701106 3838184 4249418 4317957 4934808 5757276 6374127 7402212 7676368 8498836 8635914 9869616 11514552 12748254 12953871 14804424 14872963 16997672 17271828 19122381 23029104 25496508 25907742 29608848 29745926 33995344 34543656 38244762 44618889 50993016 51815484 57367143 59491852 69087312 76489524 89237778 101986032 103630968 114734286 118983704 133856667 152979048 178475556 207261936 229468572 237967408 267713334 305958096 356951112 401570001 458937144 535426668 713902224 803140002 917874288 1070853336 1606280004 2141706672 3212560008 6425120016