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2081411864 = 237172324133
BaseRepresentation
bin111110000001111…
…1101001100011000
312101001112200022022
41330003331030120
513230320134424
6542311514012
7102402465110
oct17403751430
95331480268
102081411864
119789a25a4
124a1088908
132722b026c
1415a60c040
15c2ae495e
hex7c0fd318

2081411864 has 96 divisors (see below), whose sum is σ = 4937980320. Its totient is φ = 802864128.

The previous prime is 2081411851. The next prime is 2081411869. The reversal of 2081411864 is 4681141802.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081411869) 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, 501542 + ... + 505674.

It is an arithmetic number, because the mean of its divisors is an integer number (51437295).

Almost surely, 22081411864 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 2081411864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2468990160).

2081411864 is an abundant number, since it is smaller than the sum of its proper divisors (2856568456).

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

2081411864 is a wasteful number, since it uses less digits than its factorization.

2081411864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4209 (or 4182 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 35.

The square root of 2081411864 is about 45622.4929612576. The cubic root of 2081411864 is about 1276.7896158596.

The spelling of 2081411864 in words is "two billion, eighty-one million, four hundred eleven thousand, eight hundred sixty-four".

Divisors: 1 2 4 7 8 14 17 23 28 34 46 56 68 92 119 136 161 184 238 322 391 476 529 644 782 952 1058 1288 1564 2116 2737 3128 3703 4133 4232 5474 7406 8266 8993 10948 14812 16532 17986 21896 28931 29624 33064 35972 57862 62951 70261 71944 95059 115724 125902 140522 190118 231448 251804 281044 380236 491827 503608 562088 665413 760472 983654 1330826 1616003 1967308 2186357 2661652 3232006 3934616 4372714 5323304 6464012 8745428 11312021 12928024 15304499 17490856 22624042 30608998 37168069 45248084 61217996 74336138 90496168 122435992 148672276 260176483 297344552 520352966 1040705932 2081411864