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6988300272 = 243412234409
BaseRepresentation
bin1101000001000100…
…01111111111110000
3200001000201102210000
412200202033333300
5103303001102042
63113235310000
7335114400162
oct64042177760
920030642700
106988300272
112a66793478
12143044b300
13874a6a825
144a4192932
152ad7a774c
hex1a088fff0

6988300272 has 100 divisors (see below), whose sum is σ = 20247297840. Its totient is φ = 2327000832.

The previous prime is 6988300261. The next prime is 6988300283. The reversal of 6988300272 is 2720038896.

It is an interprime number because it is at equal distance from previous prime (6988300261) and next prime (6988300283).

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1582804 + ... + 1587212.

Almost surely, 26988300272 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 6988300272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10123648920).

6988300272 is an abundant number, since it is smaller than the sum of its proper divisors (13258997568).

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

6988300272 is a wasteful number, since it uses less digits than its factorization.

6988300272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5652 (or 5637 counting only the distinct ones).

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

The square root of 6988300272 is about 83596.0541652535. The cubic root of 6988300272 is about 1911.8648372909.

The spelling of 6988300272 in words is "six billion, nine hundred eighty-eight million, three hundred thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1223 1296 2446 3669 4409 4892 7338 8818 9784 11007 13227 14676 17636 19568 22014 26454 29352 33021 35272 39681 44028 52908 58704 66042 70544 79362 88056 99063 105816 119043 132084 158724 176112 198126 211632 238086 264168 317448 357129 396252 476172 528336 634896 714258 792504 952344 1428516 1585008 1904688 2857032 5392207 5714064 10784414 16176621 21568828 32353242 43137656 48529863 64706484 86275312 97059726 129412968 145589589 194119452 258825936 291179178 388238904 436768767 582358356 776477808 873537534 1164716712 1747075068 2329433424 3494150136 6988300272