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14855906000896 = 2249412
BaseRepresentation
bin1101100000101110100100…
…0000000000000000000000
31221121012200122001210111221
43120023221000000000000
53421344343414012041
651332413051044424
73062206125333622
oct330135100000000
957535618053457
1014855906000896
114808399710304
1217bb210a40714
13839ba1416b0c
1439505b664c12
151ab6823012d1
hexd82e9000000

14855906000896 has 75 divisors (see below), whose sum is σ = 29743419390313. Its totient is φ = 7420059320320.

The previous prime is 14855906000879. The next prime is 14855906000921. The reversal of 14855906000896 is 69800060955841.

The square root of 14855906000896 is 3854336.

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

It can be written as a sum of positive squares in only one way, i.e., 9212050538496 + 5643855462400 = 3035136^2 + 2375680^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 15787359786 + ... + 15787360726.

Almost surely, 214855906000896 is an apocalyptic number.

14855906000896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

14855906000896 is the 3854336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14855906000896

14855906000896 is an abundant number, since it is smaller than the sum of its proper divisors (14887513389417).

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

14855906000896 is an frugal number, since it uses more digits than its factorization.

14855906000896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1930 (or 943 counting only the distinct ones).

The product of its (nonzero) digits is 18662400, while the sum is 61.

The spelling of 14855906000896 in words is "fourteen trillion, eight hundred fifty-five billion, nine hundred six million, eight hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 64 128 256 512 941 1024 1882 2048 3764 4096 7528 8192 15056 16384 30112 32768 60224 65536 120448 131072 240896 262144 481792 524288 885481 963584 1048576 1770962 1927168 2097152 3541924 3854336 4194304 7083848 7708672 8388608 14167696 15417344 16777216 28335392 30834688 56670784 61669376 113341568 123338752 226683136 246677504 453366272 493355008 906732544 986710016 1813465088 1973420032 3626930176 3946840064 7253860352 7893680128 14507720704 15787360256 29015441408 58030882816 116061765632 232123531264 464247062528 928494125056 1856988250112 3713976500224 7427953000448 14855906000896