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1025712227232 = 253271146253257
BaseRepresentation
bin11101110110100010011…
…01101000001110100000
310122001112122111220101100
432323101031220032200
5113301124312232412
62103112232434400
7134051051035440
oct16732115501640
93561478456340
101025712227232
113660028a2870
12146958b48a00
1375955232994
143790522c120
151ba33c23edc
hexeed13683a0

1025712227232 has 144 divisors (see below), whose sum is σ = 3636616156992. Its totient is φ = 266418754560.

The previous prime is 1025712227227. The next prime is 1025712227237. The reversal of 1025712227232 is 2327222175201.

1025712227232 is a `hidden beast` number, since 10 + 2 + 571 + 2 + 2 + 2 + 72 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1025712227227) and next prime (1025712227237).

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (1025712227237) 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 23 ways as a sum of consecutive naturals, for example, 23104453 + ... + 23148804.

It is an arithmetic number, because the mean of its divisors is an integer number (25254278868).

Almost surely, 21025712227232 is an apocalyptic number.

1025712227232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1025712227232 is an abundant number, since it is smaller than the sum of its proper divisors (2610903929760).

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

1025712227232 is a wasteful number, since it uses less digits than its factorization.

1025712227232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46253291 (or 46253280 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

The spelling of 1025712227232 in words is "one trillion, twenty-five billion, seven hundred twelve million, two hundred twenty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 32 33 36 42 44 48 56 63 66 72 77 84 88 96 99 112 126 132 144 154 168 176 198 224 231 252 264 288 308 336 352 396 462 504 528 616 672 693 792 924 1008 1056 1232 1386 1584 1848 2016 2464 2772 3168 3696 5544 7392 11088 22176 46253257 92506514 138759771 185013028 277519542 323772799 370026056 416279313 508785827 555039084 647545598 740052112 832558626 971318397 1017571654 1110078168 1295091196 1480104224 1526357481 1665117252 1942636794 2035143308 2220156336 2590182392 2913955191 3052714962 3330234504 3561500789 3885273588 4070286616 4440312672 4579072443 5180364784 5827910382 6105429924 6660469008 7123001578 7770547176 8140573232 9158144886 10360729568 10684502367 11655820764 12210859848 13320938016 14246003156 15541094352 16281146464 18316289772 21369004734 23311641528 24421719696 28492006312 31082188704 32053507101 36632579544 42738009468 46623283056 48843439392 56984012624 64107014202 73265159088 85476018936 93246566112 113968025248 128214028404 146530318176 170952037872 256428056808 341904075744 512856113616 1025712227232