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2087405568 = 21132269421
BaseRepresentation
bin111110001101011…
…0100100000000000
312101110211012010100
41330122310200000
513233333434233
6543044202400
7102504440343
oct17432644000
95343735110
102087405568
11981316776
124a3099400
132735cb431
1415b32c45a
15c33ca813
hex7c6b4800

2087405568 has 144 divisors (see below), whose sum is σ = 6065595900. Its totient is φ = 691568640.

The previous prime is 2087405563. The next prime is 2087405591. The reversal of 2087405568 is 8655047802.

2087405568 is a `hidden beast` number, since 2 + 0 + 87 + 4 + 0 + 5 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1380271104 + 707134464 = 37152^2 + 26592^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (2087405563) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4957998 + ... + 4958418.

Almost surely, 22087405568 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 2087405568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3032797950).

2087405568 is an abundant number, since it is smaller than the sum of its proper divisors (3978190332).

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

2087405568 is a wasteful number, since it uses less digits than its factorization.

2087405568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 718 (or 695 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The square root of 2087405568 is about 45688.1337767259. The cubic root of 2087405568 is about 1278.0140035348.

The spelling of 2087405568 in words is "two billion, eighty-seven million, four hundred five thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 269 288 384 421 512 538 576 768 807 842 1024 1076 1152 1263 1536 1614 1684 2048 2152 2304 2421 2526 3072 3228 3368 3789 4304 4608 4842 5052 6144 6456 6736 7578 8608 9216 9684 10104 12912 13472 15156 17216 18432 19368 20208 25824 26944 30312 34432 38736 40416 51648 53888 60624 68864 77472 80832 103296 107776 113249 121248 137728 154944 161664 206592 215552 226498 242496 275456 309888 323328 339747 413184 431104 452996 484992 550912 619776 646656 679494 826368 862208 905992 969984 1019241 1239552 1293312 1358988 1652736 1811984 1939968 2038482 2479104 2586624 2717976 3623968 3879936 4076964 4958208 5435952 7247936 7759872 8153928 10871904 14495872 16307856 21743808 28991744 32615712 43487616 57983488 65231424 86975232 115966976 130462848 173950464 231933952 260925696 347900928 521851392 695801856 1043702784 2087405568