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2054511312 = 243741293509
BaseRepresentation
bin111101001110101…
…0101101011010000
312022011220222200120
41322131111223100
513201423330222
6535511150240
7101625025620
oct17235255320
95264828616
102054511312
11964799837
12494075380
13269851c89
14156c08880
15c057e15c
hex7a755ad0

2054511312 has 160 divisors (see below), whose sum is σ = 6247100160. Its totient is φ = 569610240.

The previous prime is 2054511311. The next prime is 2054511331. The reversal of 2054511312 is 2131154502.

It is a happy number.

It is a super-2 number, since 2×20545113122 = 8442033462271922688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2054511311) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4036114 + ... + 4036622.

It is an arithmetic number, because the mean of its divisors is an integer number (39044376).

Almost surely, 22054511312 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 2054511312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3123550080).

2054511312 is an abundant number, since it is smaller than the sum of its proper divisors (4192588848).

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

2054511312 is a wasteful number, since it uses less digits than its factorization.

2054511312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861 (or 855 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 2054511312 is about 45326.7174191999. The cubic root of 2054511312 is about 1271.2652593913.

Adding to 2054511312 its reverse (2131154502), we get a palindrome (4185665814).

The spelling of 2054511312 in words is "two billion, fifty-four million, five hundred eleven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 41 42 48 56 82 84 112 123 164 168 246 287 293 328 336 492 509 574 586 656 861 879 984 1018 1148 1172 1527 1722 1758 1968 2036 2051 2296 2344 3054 3444 3516 3563 4072 4102 4592 4688 6108 6153 6888 7032 7126 8144 8204 10689 12013 12216 12306 13776 14064 14252 16408 20869 21378 24026 24432 24612 28504 32816 36039 41738 42756 48052 49224 57008 62607 72078 83476 84091 85512 96104 98448 125214 144156 146083 149137 166952 168182 171024 192208 250428 252273 288312 292166 298274 333904 336364 438249 447411 500856 504546 576624 584332 596548 672728 876498 894822 1001712 1009092 1043959 1168664 1193096 1345456 1752996 1789644 2018184 2087918 2337328 2386192 3131877 3505992 3579288 4036368 4175836 6114617 6263754 7011984 7158576 8351672 12229234 12527508 16703344 18343851 24458468 25055016 36687702 42802319 48916936 50110032 73375404 85604638 97833872 128406957 146750808 171209276 256813914 293501616 342418552 513627828 684837104 1027255656 2054511312