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18843725356096 = 26432126192
BaseRepresentation
bin1000100100011011001011…
…00011100101110001000000
32110201102221121201122000111
410102031211203211301000
54432213422142343341
6104024404331401104
73653262036511054
oct422154543456100
973642847648014
1018843725356096
116005640788183
1221440595b3194
13a68c5680c504
14492080da1c64
1522a27dc56681
hex1123658e5c40

18843725356096 has 63 divisors (see below), whose sum is σ = 38285879921991. Its totient is φ = 9202020315264.

The previous prime is 18843725356081. The next prime is 18843725356109. The reversal of 18843725356096 is 69065352734881.

The square root of 18843725356096 is 4340936.

It is a perfect power (a square), and thus also a powerful number.

It is a super-2 number, since 2×188437253560962 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1493275675 + ... + 1493288293.

It is a 2-persistent number, because it is pandigital, and so is 2⋅18843725356096 = 37687450712192, but 3⋅18843725356096 = 56531176068288 is not.

Almost surely, 218843725356096 is an apocalyptic number.

18843725356096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

18843725356096 is the 4340936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18843725356096

18843725356096 is an abundant number, since it is smaller than the sum of its proper divisors (19442154565895).

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

18843725356096 is an frugal number, since it uses more digits than its factorization.

18843725356096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25336 (or 12664 counting only the distinct ones).

The product of its (nonzero) digits is 261273600, while the sum is 67.

The spelling of 18843725356096 in words is "eighteen trillion, eight hundred forty-three billion, seven hundred twenty-five million, three hundred fifty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 32 43 64 86 172 344 688 1376 1849 2752 3698 7396 12619 14792 25238 29584 50476 59168 100952 118336 201904 403808 542617 807616 1085234 2170468 4340936 8681872 17363744 23332531 34727488 46665062 93330124 159239161 186660248 318478322 373320496 636956644 746640992 1273913288 1493281984 2547826576 5095653152 6847283923 10191306304 13694567846 27389135692 54778271384 109556542768 219113085536 294433208689 438226171072 588866417378 1177732834756 2355465669512 4710931339024 9421862678048 18843725356096