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1080801427456 = 2163121312
BaseRepresentation
bin11111011101001001100…
…10010000000000000000
310211022201220120020021101
433232210302100000000
5120201440131134311
62144302513304144
7141041160360562
oct17564462200000
93738656506241
101080801427456
11387402258313
12155572265054
137abc446318a
143a44d7dd332
151d1aa28eec1
hexfba4c90000

1080801427456 has 153 divisors (see below), whose sum is σ = 2250744527379. Its totient is φ = 518976307200.

The previous prime is 1080801427351. The next prime is 1080801427477. The reversal of 1080801427456 is 6547241080801.

The square root of 1080801427456 is 1039616.

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

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, 8250392511 + ... + 8250392641.

Almost surely, 21080801427456 is an apocalyptic number.

1080801427456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1080801427456 is the 1039616-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1080801427456

1080801427456 is an abundant number, since it is smaller than the sum of its proper divisors (1169943099923).

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

1080801427456 is an frugal number, since it uses more digits than its factorization.

1080801427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 46.

The spelling of 1080801427456 in words is "one trillion, eighty billion, eight hundred one million, four hundred twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 131 248 256 262 496 512 524 961 992 1024 1048 1922 1984 2048 2096 3844 3968 4061 4096 4192 7688 7936 8122 8192 8384 15376 15872 16244 16384 16768 17161 30752 31744 32488 32768 33536 34322 61504 63488 64976 65536 67072 68644 123008 125891 126976 129952 134144 137288 246016 251782 253952 259904 268288 274576 492032 503564 507904 519808 531991 536576 549152 984064 1007128 1015808 1039616 1063982 1073152 1098304 1968128 2014256 2031616 2079232 2127964 2146304 2196608 3936256 4028512 4158464 4255928 4292608 4393216 7872512 8057024 8316928 8511856 8585216 8786432 15745024 16114048 16491721 16633856 17023712 17572864 31490048 32228096 32983442 33267712 34047424 35145728 62980096 64456192 65966884 66535424 68094848 70291456 128912384 131933768 133070848 136189696 140582912 257824768 263867536 266141696 272379392 281165824 515649536 527735072 544758784 562331648 1031299072 1055470144 1089517568 1124663296 2062598144 2110940288 2179035136 4125196288 4221880576 4358070272 8250392576 8443761152 8716140544 16887522304 17432281088 33775044608 34864562176 67550089216 135100178432 270200356864 540400713728 1080801427456