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2054119728 = 243537191123
BaseRepresentation
bin111101001101111…
…0110000100110000
312022011012002112110
41322123312010300
513201323312403
6535454525320
7101621505153
oct17233660460
95264162473
102054119728
11964551611
12493b06840
1326974597b
14156b45c9a
15c0503103
hex7a6f6130

2054119728 has 80 divisors (see below), whose sum is σ = 5418938880. Its totient is φ = 670255872.

The previous prime is 2054119703. The next prime is 2054119729. The reversal of 2054119728 is 8279114502.

2054119728 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (2054119729) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1828575 + ... + 1829697.

It is an arithmetic number, because the mean of its divisors is an integer number (67736736).

Almost surely, 22054119728 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2054119728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2709469440).

2054119728 is an abundant number, since it is smaller than the sum of its proper divisors (3364819152).

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

2054119728 is a wasteful number, since it uses less digits than its factorization.

2054119728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1906 (or 1900 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2054119728 is about 45322.3976417841. The cubic root of 2054119728 is about 1271.1844877478.

The spelling of 2054119728 in words is "two billion, fifty-four million, one hundred nineteen thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 53 106 159 212 318 424 636 719 848 1123 1272 1438 2157 2246 2544 2876 3369 4314 4492 5752 6738 8628 8984 11504 13476 17256 17968 26952 34512 38107 53904 59519 76214 114321 119038 152428 178557 228642 238076 304856 357114 457284 476152 609712 714228 807437 914568 952304 1428456 1614874 1829136 2422311 2856912 3229748 4844622 6459496 9689244 12918992 19378488 38756976 42794161 85588322 128382483 171176644 256764966 342353288 513529932 684706576 1027059864 2054119728