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45061055104 = 2713269100669
BaseRepresentation
bin101001111101110110…
…010010001010000000
311022022101022202220211
4221331312102022000
51214241112230404
632411210443504
73153440435332
oct517566221200
9138271282824
1045061055104
111812387770a
128896a33594
13433176a420
142276803452
15128ae9db04
hexa7dd92280

45061055104 has 64 divisors (see below), whose sum is σ = 97035813000. Its totient is φ = 20719890432.

The previous prime is 45061055093. The next prime is 45061055119. The reversal of 45061055104 is 40155016054.

It can be written as a sum of positive squares in 4 ways, for example, as 31595773504 + 13465281600 = 177752^2 + 116040^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 397282 + ... + 497950.

Almost surely, 245061055104 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 45061055104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48517906500).

45061055104 is an abundant number, since it is smaller than the sum of its proper divisors (51974757896).

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

45061055104 is a wasteful number, since it uses less digits than its factorization.

45061055104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100965 (or 100953 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 45061055104 in words is "forty-five billion, sixty-one million, fifty-five thousand, one hundred four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 208 269 416 538 832 1076 1664 2152 3497 4304 6994 8608 13988 17216 27976 34432 55952 100669 111904 201338 223808 402676 447616 805352 1308697 1610704 2617394 3221408 5234788 6442816 10469576 12885632 20939152 27079961 41878304 54159922 83756608 108319844 167513216 216639688 352039493 433279376 704078986 866558752 1408157972 1733117504 2816315944 3466235008 5632631888 11265263776 22530527552 45061055104