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1230819677856 = 25323124447117
BaseRepresentation
bin10001111010010010100…
…100011101011010100000
311100122221221100221222200
4101322102210131122200
5130131204314142411
62341233013133200
7154631600433156
oct21722244353240
94318857327880
101230819677856
11434a9569123a
1217a65b02a200
138c0b1732592
14438017813d6
152203a776e56
hex11e9291d6a0

1230819677856 has 108 divisors (see below), whose sum is σ = 3616694314506. Its totient is φ = 397038516480.

The previous prime is 1230819677837. The next prime is 1230819677939. The reversal of 1230819677856 is 6587769180321.

It can be written as a sum of positive squares in only one way, i.e., 678943040400 + 551876637456 = 823980^2 + 742884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1230819677793 and 1230819677802.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1946791 + ... + 2500326.

Almost surely, 21230819677856 is an apocalyptic number.

1230819677856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1230819677856 is an abundant number, since it is smaller than the sum of its proper divisors (2385874636650).

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

1230819677856 is a wasteful number, since it uses less digits than its factorization.

1230819677856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447195 (or 4447153 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 1230819677856 in words is "one trillion, two hundred thirty billion, eight hundred nineteen million, six hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 32 36 48 62 72 93 96 124 144 186 248 279 288 372 496 558 744 961 992 1116 1488 1922 2232 2883 2976 3844 4464 5766 7688 8649 8928 11532 15376 17298 23064 30752 34596 46128 69192 92256 138384 276768 4447117 8894234 13341351 17788468 26682702 35576936 40024053 53365404 71153872 80048106 106730808 137860627 142307744 160096212 213461616 275721254 320192424 413581881 426923232 551442508 640384848 827163762 1102885016 1240745643 1280769696 1654327524 2205770032 2481491286 3308655048 4273679437 4411540064 4962982572 6617310096 8547358874 9925965144 12821038311 13234620192 17094717748 19851930288 25642076622 34189435496 38463114933 39703860576 51284153244 68378870992 76926229866 102568306488 136757741984 153852459732 205136612976 307704919464 410273225952 615409838928 1230819677856