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2054177676336 = 243192917772159
BaseRepresentation
bin11101111001000110100…
…001111101110000110000
321021101012011200222011010
4131321012201331300300
5232123423441120321
64211402020350520
7301260303104142
oct35710641756060
97241164628133
102054177676336
11722198822a05
12292143b45440
1311b928994b16
14715cbd84c92
15386794e2676
hex1de4687dc30

2054177676336 has 80 divisors (see below), whose sum is σ = 5587843942400. Its totient is φ = 648464465664.

The previous prime is 2054177676319. The next prime is 2054177676347. The reversal of 2054177676336 is 6336767714502.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2274225 + ... + 3046383.

It is an arithmetic number, because the mean of its divisors is an integer number (69848049280).

Almost surely, 22054177676336 is an apocalyptic number.

It is an amenable number.

2054177676336 is an abundant number, since it is smaller than the sum of its proper divisors (3533666266064).

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

2054177676336 is a wasteful number, since it uses less digits than its factorization.

2054177676336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775106 (or 775100 counting only the distinct ones).

The product of its (nonzero) digits is 26671680, while the sum is 57.

The spelling of 2054177676336 in words is "two trillion, fifty-four billion, one hundred seventy-seven million, six hundred seventy-six thousand, three hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 456 912 2917 5834 8751 11668 17502 23336 35004 46672 55423 70008 110846 140016 166269 221692 332538 443384 665076 772159 886768 1330152 1544318 2316477 2660304 3088636 4632954 6177272 9265908 12354544 14671021 18531816 29342042 37063632 44013063 58684084 88026126 117368168 176052252 234736336 352104504 704209008 2252387803 4504775606 6757163409 9009551212 13514326818 18019102424 27028653636 36038204848 42795368257 54057307272 85590736514 108114614544 128386104771 171181473028 256772209542 342362946056 513544419084 684725892112 1027088838168 2054177676336