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1681698798976 = 2771998783999
BaseRepresentation
bin11000011110001101000…
…011110011110110000000
312221202202110222111001211
4120132031003303312000
5210023104343031401
63324321201335504
7232333030636240
oct30361503636600
95852673874054
101681698798976
11599228148369
12231b11637594
13c2777ca6841
145b574d17b20
152db28cba951
hex1878d0f3d80

1681698798976 has 64 divisors (see below), whose sum is σ = 4030387200000. Its totient is φ = 682794994176.

The previous prime is 1681698798973. The next prime is 1681698799003. The reversal of 1681698798976 is 6798978961861.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×16816987989762 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1681698798893 and 1681698798902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1681698798973) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 49374976 + ... + 49409023.

It is an arithmetic number, because the mean of its divisors is an integer number (62974800000).

Almost surely, 21681698798976 is an apocalyptic number.

1681698798976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1681698798976 is an abundant number, since it is smaller than the sum of its proper divisors (2348688401024).

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

1681698798976 is an equidigital number, since it uses as much as digits as its factorization.

1681698798976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98784039 (or 98784027 counting only the distinct ones).

The product of its digits is 3950456832, while the sum is 85.

The spelling of 1681698798976 in words is "one trillion, six hundred eighty-one billion, six hundred ninety-eight million, seven hundred ninety-eight thousand, nine hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 98783999 197567998 395135996 691487993 790271992 1382975986 1580543984 1876895981 2765951972 3161087968 3753791962 5531903944 6322175936 7507583924 11063807888 12644351872 13138271867 15015167848 22127615776 26276543734 30030335696 44255231552 52553087468 60060671392 88510463104 105106174936 120121342784 210212349872 240242685568 420424699744 840849399488 1681698798976