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2055078216 = 23352274657
BaseRepresentation
bin111101001111110…
…0000000101001000
312022012222210100000
41322133200011020
513202100000331
6535531243000
7101632606452
oct17237400510
95265883300
102055078216
11965046754
124942a9460
132699c0019
14156d152d2
15c06420e6
hex7a7e0148

2055078216 has 96 divisors (see below), whose sum is σ = 5798651040. Its totient is φ = 681861888.

The previous prime is 2055078211. The next prime is 2055078251. The reversal of 2055078216 is 6128705502.

It is a happy number.

2055078216 is a `hidden beast` number, since 20 + 550 + 7 + 82 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2055078211) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438960 + ... + 443616.

It is an arithmetic number, because the mean of its divisors is an integer number (60402615).

Almost surely, 22055078216 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 2055078216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2899325520).

2055078216 is an abundant number, since it is smaller than the sum of its proper divisors (3743572824).

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

2055078216 is a wasteful number, since it uses less digits than its factorization.

2055078216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4905 (or 4889 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 2055078216 is about 45332.9705181560. The cubic root of 2055078216 is about 1271.3821759349.

The spelling of 2055078216 in words is "two billion, fifty-five million, seventy-eight thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 227 243 324 454 486 648 681 908 972 1362 1816 1944 2043 2724 4086 4657 5448 6129 8172 9314 12258 13971 16344 18387 18628 24516 27942 36774 37256 41913 49032 55161 55884 73548 83826 110322 111768 125739 147096 167652 220644 251478 335304 377217 441288 502956 754434 1005912 1057139 1131651 1508868 2114278 2263302 3017736 3171417 4228556 4526604 6342834 8457112 9053208 9514251 12685668 19028502 25371336 28542753 38057004 57085506 76114008 85628259 114171012 171256518 228342024 256884777 342513036 513769554 685026072 1027539108 2055078216