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1238123653452 = 2232731173916127
BaseRepresentation
bin10010000001000101111…
…010111010100101001100
311101100210222002100220100
4102001011322322211030
5130241134123402302
62344441450451100
7155310600260520
oct22010572724514
94340728070810
101238123653452
114380a3585204
1217bb59133a90
138c9a69c8a2a
1443cd5827d80
1522316ad7d1c
hex12045eba94c

1238123653452 has 144 divisors (see below), whose sum is σ = 3713528512512. Its totient is φ = 340359131520.

The previous prime is 1238123653369. The next prime is 1238123653513. The reversal of 1238123653452 is 2543563218321.

1238123653452 is a `hidden beast` number, since 1 + 2 + 3 + 81 + 2 + 36 + 534 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1238123653398 and 1238123653407.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 893413 + ... + 1809539.

It is an arithmetic number, because the mean of its divisors is an integer number (25788392448).

Almost surely, 21238123653452 is an apocalyptic number.

1238123653452 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1238123653452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856764256256).

1238123653452 is an abundant number, since it is smaller than the sum of its proper divisors (2475404859060).

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

1238123653452 is a wasteful number, since it uses less digits than its factorization.

1238123653452 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 916348 (or 916343 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 1238123653452 in words is "one trillion, two hundred thirty-eight billion, one hundred twenty-three million, six hundred fifty-three thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 42 62 63 84 93 124 126 173 186 217 252 279 346 372 434 519 558 651 692 868 1038 1116 1211 1302 1557 1953 2076 2422 2604 3114 3633 3906 4844 5363 6228 7266 7812 10726 10899 14532 16089 21452 21798 32178 37541 43596 48267 64356 75082 96534 112623 150164 193068 225246 337869 450492 675738 916127 1351476 1832254 2748381 3664508 5496762 6412889 8245143 10993524 12825778 16490286 19238667 25651556 28399937 32980572 38477334 56799874 57716001 76954668 85199811 113599748 115432002 158489971 170399622 198799559 230864004 255599433 316979942 340799244 397599118 475469913 511198866 596398677 633959884 795198236 950939826 1022397732 1109429797 1192797354 1426409739 1789196031 1901879652 2218859594 2385594708 2852819478 3328289391 3578392062 4437719188 4913189101 5705638956 6656578782 7156784124 9826378202 9984868173 13313157564 14739567303 19652756404 19969736346 29479134606 34392323707 39939472692 44218701909 58958269212 68784647414 88437403818 103176971121 137569294828 176874807636 206353942242 309530913363 412707884484 619061826726 1238123653452