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2084176896 = 21031514493
BaseRepresentation
bin111110000111010…
…0000010000000000
312101020202011012220
41330032200100000
513232022130041
6542451051040
7102435132324
oct17416402000
95336664186
102084176896
1197a510a4a
124a1ba0a80
13272a3a989
1415ab2b984
15c2e8dd66
hex7c3a0400

2084176896 has 88 divisors (see below), whose sum is σ = 5593124544. Its totient is φ = 689971200.

The previous prime is 2084176891. The next prime is 2084176907. The reversal of 2084176896 is 6986714802.

It is not an unprimeable number, because it can be changed into a prime (2084176891) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 461626 + ... + 466118.

Almost surely, 22084176896 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 2084176896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796562272).

2084176896 is an abundant number, since it is smaller than the sum of its proper divisors (3508947648).

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

2084176896 is a wasteful number, since it uses less digits than its factorization.

2084176896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4667 (or 4649 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 51.

The square root of 2084176896 is about 45652.7862895574. The cubic root of 2084176896 is about 1277.3547454024.

The spelling of 2084176896 in words is "two billion, eighty-four million, one hundred seventy-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 151 192 256 302 384 453 512 604 768 906 1024 1208 1536 1812 2416 3072 3624 4493 4832 7248 8986 9664 13479 14496 17972 19328 26958 28992 35944 38656 53916 57984 71888 77312 107832 115968 143776 154624 215664 231936 287552 431328 463872 575104 678443 862656 1150208 1356886 1725312 2035329 2300416 2713772 3450624 4070658 4600832 5427544 6901248 8141316 10855088 13802496 16282632 21710176 32565264 43420352 65130528 86840704 130261056 173681408 260522112 347362816 521044224 694725632 1042088448 2084176896