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2081171424 = 253179281431
BaseRepresentation
bin111110000001100…
…0010011111100000
312101001002110111010
41330003002133200
513230234441144
6542302420520
7102400444113
oct17403023740
95331073433
102081171424
11978848992
124a0b91740
132722279a7
1415a58857a
15c2a985b9
hex7c0c27e0

2081171424 has 96 divisors (see below), whose sum is σ = 5525936640. Its totient is φ = 685798400.

The previous prime is 2081171371. The next prime is 2081171429. The reversal of 2081171424 is 4241711802.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 2081171391 and 2081171400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2081171429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4828489 + ... + 4828919.

It is an arithmetic number, because the mean of its divisors is an integer number (57561840).

Almost surely, 22081171424 is an apocalyptic number.

2081171424 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 2081171424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2762968320).

2081171424 is an abundant number, since it is smaller than the sum of its proper divisors (3444765216).

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

2081171424 is a wasteful number, since it uses less digits than its factorization.

2081171424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 904 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2081171424 is about 45619.8577814530. The cubic root of 2081171424 is about 1276.7404500150.

It can be divided in two parts, 20811 and 71424, that added together give a triangular number (92235 = T429).

The spelling of 2081171424 in words is "two billion, eighty-one million, one hundred seventy-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 179 281 358 431 537 562 716 843 862 1074 1124 1293 1432 1686 1724 2148 2248 2586 2864 3372 3448 4296 4496 5172 5728 6744 6896 8592 8992 10344 13488 13792 17184 20688 26976 41376 50299 77149 100598 121111 150897 154298 201196 231447 242222 301794 308596 363333 402392 462894 484444 603588 617192 726666 804784 925788 968888 1207176 1234384 1453332 1609568 1851576 1937776 2414352 2468768 2906664 3703152 3875552 4828704 5813328 7406304 11626656 21678869 43357738 65036607 86715476 130073214 173430952 260146428 346861904 520292856 693723808 1040585712 2081171424