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1024427106048 = 2832116321751
BaseRepresentation
bin11101110100001001001…
…11010001111100000000
310121221020002022222112110
432322010213101330000
5113241011314343143
62102340524055320
7134004154504443
oct16720447217400
93557202288473
101024427106048
11365503438245
1214665a694540
13757abc07148
14378226a165a
151b9aaec2533
hexee849d1f00

1024427106048 has 72 divisors (see below), whose sum is σ = 2739392150656. Its totient is φ = 339857280000.

The previous prime is 1024427106047. The next prime is 1024427106107. The reversal of 1024427106048 is 8406017244201.

It is a junction number, because it is equal to n+sod(n) for n = 1024427105997 and 1024427106015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1024427106047) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2998828 + ... + 3322923.

Almost surely, 21024427106048 is an apocalyptic number.

It is an amenable number.

1024427106048 is an abundant number, since it is smaller than the sum of its proper divisors (1714965044608).

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

1024427106048 is an equidigital number, since it uses as much as digits as its factorization.

1024427106048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6321981 (or 6321967 counting only the distinct ones).

The product of its (nonzero) digits is 86016, while the sum is 39.

The spelling of 1024427106048 in words is "one trillion, twenty-four billion, four hundred twenty-seven million, one hundred six thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 211 256 384 422 633 768 844 1266 1688 2532 3376 5064 6752 10128 13504 20256 27008 40512 54016 81024 162048 6321751 12643502 18965253 25287004 37930506 50574008 75861012 101148016 151722024 202296032 303444048 404592064 606888096 809184128 1213776192 1333889461 1618368256 2427552384 2667778922 4001668383 4855104768 5335557844 8003336766 10671115688 16006673532 21342231376 32013347064 42684462752 64026694128 85368925504 128053388256 170737851008 256106776512 341475702016 512213553024 1024427106048