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2145302064 = 243310746411
BaseRepresentation
bin111111111011110…
…1011011000110000
312112111202122012000
41333313223120300
513343144131224
6552513134000
7104106523653
oct17767533060
95474678160
102145302064
11a00a70214
124ba55a300
132825bcb09
14164cbd89a
15c85150c9
hex7fdeb630

2145302064 has 80 divisors (see below), whose sum is σ = 6215495040. Its totient is φ = 708402240.

The previous prime is 2145302053. The next prime is 2145302099. The reversal of 2145302064 is 4602035412.

2145302064 is a `hidden beast` number, since 2 + 1 + 453 + 0 + 206 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 23019 + ... + 69429.

It is an arithmetic number, because the mean of its divisors is an integer number (77693688).

Almost surely, 22145302064 is an apocalyptic number.

2145302064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145302064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107747520).

2145302064 is an abundant number, since it is smaller than the sum of its proper divisors (4070192976).

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

2145302064 is a wasteful number, since it uses less digits than its factorization.

2145302064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46535 (or 46523 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2145302064 is about 46317.4056268267. The cubic root of 2145302064 is about 1289.7221251130.

Adding to 2145302064 its reverse (4602035412), we get a palindrome (6747337476).

The spelling of 2145302064 in words is "two billion, one hundred forty-five million, three hundred two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 107 108 144 214 216 321 428 432 642 856 963 1284 1712 1926 2568 2889 3852 5136 5778 7704 11556 15408 23112 46224 46411 92822 139233 185644 278466 371288 417699 556932 742576 835398 1113864 1253097 1670796 2227728 2506194 3341592 4965977 5012388 6683184 9931954 10024776 14897931 19863908 20049552 29795862 39727816 44693793 59591724 79455632 89387586 119183448 134081379 178775172 238366896 268162758 357550344 536325516 715100688 1072651032 2145302064