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16490678688 = 25321147110753
BaseRepresentation
bin11110101101110101…
…11100100110100000
31120120021010021102100
433112322330212200
5232233103204223
611324204250400
71122440312301
oct172672744640
946507107370
1016490678688
116aa2615a80
123242840a00
13172a626653
14b261bc7a8
15667b1c043
hex3d6ebc9a0

16490678688 has 144 divisors (see below), whose sum is σ = 52247534976. Its totient is φ = 4890808320.

The previous prime is 16490678669. The next prime is 16490678707. The reversal of 16490678688 is 88687609461.

16490678688 is a `hidden beast` number, since 1 + 6 + 490 + 67 + 8 + 6 + 88 = 666.

It is an interprime number because it is at equal distance from previous prime (16490678669) and next prime (16490678707).

It is a tau number, because it is divible by the number of its divisors (144).

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 23 ways as a sum of consecutive naturals, for example, 93520 + ... + 204272.

It is an arithmetic number, because the mean of its divisors is an integer number (362830104).

Almost surely, 216490678688 is an apocalyptic number.

16490678688 is a gapful number since it is divisible by the number (18) 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 16490678688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26123767488).

16490678688 is an abundant number, since it is smaller than the sum of its proper divisors (35756856288).

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

16490678688 is a wasteful number, since it uses less digits than its factorization.

16490678688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110827 (or 110816 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 16490678688 in words is "sixteen billion, four hundred ninety million, six hundred seventy-eight thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 47 48 66 72 88 94 96 99 132 141 144 176 188 198 264 282 288 352 376 396 423 517 528 564 752 792 846 1034 1056 1128 1504 1551 1584 1692 2068 2256 3102 3168 3384 4136 4512 4653 6204 6768 8272 9306 12408 13536 16544 18612 24816 37224 49632 74448 110753 148896 221506 332259 443012 664518 886024 996777 1218283 1329036 1772048 1993554 2436566 2658072 3544096 3654849 3987108 4873132 5205391 5316144 7309698 7974216 9746264 10410782 10632288 10964547 14619396 15616173 15948432 19492528 20821564 21929094 29238792 31232346 31896864 38985056 41643128 43858188 46848519 57259301 58477584 62464692 83286256 87716376 93697038 114518602 116955168 124929384 166572512 171777903 175432752 187394076 229037204 249858768 343555806 350865504 374788152 458074408 499717536 515333709 687111612 749576304 916148816 1030667418 1374223224 1499152608 1832297632 2061334836 2748446448 4122669672 5496892896 8245339344 16490678688