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6728103984 = 2437197314437
BaseRepresentation
bin1100100010000011…
…01011100000110000
3122100220010002120110
412101001223200300
5102234343311414
63031342341320
7325504640340
oct62101534060
918326102513
106728103984
112942926118
12137928a840
13832b98124
1447b7c0d20
15295a0c459
hex19106b830

6728103984 has 160 divisors (see below), whose sum is σ = 21197294080. Its totient is φ = 1796069376.

The previous prime is 6728103979. The next prime is 6728104067. The reversal of 6728103984 is 4893018276.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 458814 + ... + 473250.

It is an arithmetic number, because the mean of its divisors is an integer number (132483088).

Almost surely, 26728103984 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 6728103984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10598647040).

6728103984 is an abundant number, since it is smaller than the sum of its proper divisors (14469190096).

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

6728103984 is a wasteful number, since it uses less digits than its factorization.

6728103984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14547 (or 14541 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The square root of 6728103984 is about 82025.0204754622. The cubic root of 6728103984 is about 1887.8358611375.

The spelling of 6728103984 in words is "six billion, seven hundred twenty-eight million, one hundred three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 73 76 84 112 114 133 146 152 168 219 228 266 292 304 336 399 438 456 511 532 584 798 876 912 1022 1064 1168 1387 1533 1596 1752 2044 2128 2774 3066 3192 3504 4088 4161 5548 6132 6384 8176 8322 9709 11096 12264 14437 16644 19418 22192 24528 28874 29127 33288 38836 43311 57748 58254 66576 77672 86622 101059 115496 116508 155344 173244 202118 230992 233016 274303 303177 346488 404236 466032 548606 606354 692976 808472 822909 1053901 1097212 1212708 1616944 1645818 1920121 2107802 2194424 2425416 3161703 3291636 3840242 4215604 4388848 4850832 5760363 6323406 6583272 7377307 7680484 8431208 11520726 12646812 13166544 14754614 15360968 16862416 20024119 22131921 23041452 25293624 29509228 30721936 40048238 44263842 46082904 50587248 59018456 60072357 80096476 88527684 92165808 118036912 120144714 140168833 160192952 177055368 240289428 280337666 320385904 354110736 420506499 480578856 560675332 841012998 961157712 1121350664 1682025996 2242701328 3364051992 6728103984