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2114061552 = 24338535737
BaseRepresentation
bin111111000000010…
…0000010011110000
312110022222110021000
41332000200103300
513312144432202
6545435402000
7103250140521
oct17600402360
95408873230
102114061552
11995372809
124abbb3300
13278ca22c5
14160aaa848
15c58e391c
hex7e0204f0

2114061552 has 80 divisors (see below), whose sum is σ = 6076312480. Its totient is φ = 703738368.

The previous prime is 2114061541. The next prime is 2114061577. The reversal of 2114061552 is 2551604112.

2114061552 is a `hidden beast` number, since 2 + 1 + 1 + 40 + 615 + 5 + 2 = 666.

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

It is a congruent number.

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, 365628 + ... + 371364.

It is an arithmetic number, because the mean of its divisors is an integer number (75953906).

Almost surely, 22114061552 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 2114061552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3038156240).

2114061552 is an abundant number, since it is smaller than the sum of its proper divisors (3962250928).

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

2114061552 is a wasteful number, since it uses less digits than its factorization.

2114061552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6607 (or 6595 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 2114061552 is about 45978.9250853040. The cubic root of 2114061552 is about 1283.4310519770.

Adding to 2114061552 its reverse (2551604112), we get a palindrome (4665665664).

It can be divided in two parts, 21 and 14061552, that multiplied together give a palindrome (295292592).

The spelling of 2114061552 in words is "two billion, one hundred fourteen million, sixty-one thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 853 1706 2559 3412 5118 5737 6824 7677 10236 11474 13648 15354 17211 20472 22948 23031 30708 34422 40944 45896 46062 51633 61416 68844 91792 92124 103266 122832 137688 154899 184248 206532 275376 309798 368496 413064 619596 826128 1239192 2478384 4893661 9787322 14680983 19574644 29361966 39149288 44042949 58723932 78298576 88085898 117447864 132128847 176171796 234895728 264257694 352343592 528515388 704687184 1057030776 2114061552