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13198296816 = 243423442777
BaseRepresentation
bin11000100101010111…
…00000011011110000
31021001210220221120000
430102223200123300
5204012230444231
610021353150000
7645031446315
oct142253403360
937053827500
1013198296816
115663104821
1226840bb300
1313244b09b3
148d2c26d0c
15523a716e6
hex312ae06f0

13198296816 has 100 divisors (see below), whose sum is σ = 39860646672. Its totient is φ = 4208143104.

The previous prime is 13198296803. The next prime is 13198296823. The reversal of 13198296816 is 61869289131.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 191581 + ... + 251196.

Almost surely, 213198296816 is an apocalyptic number.

13198296816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

13198296816 is an abundant number, since it is smaller than the sum of its proper divisors (26662349856).

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

13198296816 is a wasteful number, since it uses less digits than its factorization.

13198296816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442820 (or 442805 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 54.

The spelling of 13198296816 in words is "thirteen billion, one hundred ninety-eight million, two hundred ninety-six thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 81 92 108 138 144 162 184 207 216 276 324 368 414 432 552 621 648 828 1104 1242 1296 1656 1863 2484 3312 3726 4968 7452 9936 14904 29808 442777 885554 1328331 1771108 2656662 3542216 3984993 5313324 7084432 7969986 10183871 10626648 11954979 15939972 20367742 21253296 23909958 30551613 31879944 35864937 40735484 47819916 61103226 63759888 71729874 81470968 91654839 95639832 122206452 143459748 162941936 183309678 191279664 244412904 274964517 286919496 366619356 488825808 549929034 573838992 733238712 824893551 1099858068 1466477424 1649787102 2199716136 3299574204 4399432272 6599148408 13198296816