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16374140928 = 2123516451
BaseRepresentation
bin11110011111111100…
…11001000000000000
31120021010211112200000
433033332121000000
5232013240002203
611304442400000
71116523621125
oct171776310000
946233745600
1016374140928
116a42859482
12320b800000
13170c4425b2
14b1492474c
1565c79c4a3
hex3cff99000

16374140928 has 156 divisors (see below), whose sum is σ = 49052032848. Its totient is φ = 5457715200.

The previous prime is 16374140911. The next prime is 16374140941. The reversal of 16374140928 is 82904147361.

16374140928 is a `hidden beast` number, since 1 + 637 + 4 + 1 + 4 + 0 + 9 + 2 + 8 = 666.

It is a super-3 number, since 3×163741409283 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 987103 + ... + 1003553.

It is an arithmetic number, because the mean of its divisors is an integer number (314436108).

Almost surely, 216374140928 is an apocalyptic number.

16374140928 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 16374140928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24526016424).

16374140928 is an abundant number, since it is smaller than the sum of its proper divisors (32677891920).

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

16374140928 is an frugal number, since it uses more digits than its factorization.

16374140928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16490 (or 16456 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 16374140928 in words is "sixteen billion, three hundred seventy-four million, one hundred forty thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1024 1152 1296 1536 1728 1944 2048 2304 2592 3072 3456 3888 4096 4608 5184 6144 6912 7776 9216 10368 12288 13824 15552 16451 18432 20736 27648 31104 32902 36864 41472 49353 55296 62208 65804 82944 98706 110592 124416 131608 148059 165888 197412 248832 263216 296118 331776 394824 444177 497664 526432 592236 789648 888354 995328 1052864 1184472 1332531 1579296 1776708 2105728 2368944 2665062 3158592 3553416 3997593 4211456 4737888 5330124 6317184 7106832 7995186 8422912 9475776 10660248 12634368 14213664 15990372 16845824 18951552 21320496 25268736 28427328 31980744 33691648 37903104 42640992 50537472 56854656 63961488 67383296 75806208 85281984 101074944 113709312 127922976 151612416 170563968 202149888 227418624 255845952 303224832 341127936 454837248 511691904 606449664 682255872 909674496 1023383808 1364511744 1819348992 2046767616 2729023488 4093535232 5458046976 8187070464 16374140928